6111483840 has 1008 divisors, whose sum is σ = 27753283584. Its totient is φ = 1219276800.

The previous prime is 6111483839. The next prime is 6111483869. The reversal of 6111483840 is 483841116.

It is a happy number.

6111483840 is a `hidden beast` number, since 611 + 1 + 4 + 8 + 38 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×6111483840² = 74700469453162291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6111483795 and 6111483804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 48121857 + ... + 48121983.

Almost surely, 2^6111483840 is an apocalyptic number.

6111483840 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6111483840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13876641792).

6111483840 is an abundant number, since it is smaller than the sum of its proper divisors (21641799744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6111483840 is a wasteful number, since it uses less digits than its factorization.

6111483840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 6111483840 is about 78175.9799426908. The cubic root of 6111483840 is about 1828.3060199798.

The spelling of 6111483840 in words is "six billion, one hundred eleven million, four hundred eighty-three thousand, eight hundred forty".