6411879301050 has 384 divisors, whose sum is σ = 18912591659520. Its totient is φ = 1591662182400.

The previous prime is 6411879301049. The next prime is 6411879301081. The reversal of 6411879301050 is 501039781146.

It is a super-2 number, since 2×6411879301050² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 6411879300987 and 6411879301005.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3217198854 + ... + 3217200846.

It is an arithmetic number, because the mean of its divisors is an integer number (49251540780).

Almost surely, 2^{6411879301050} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6411879301050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9456295829760).

6411879301050 is an abundant number, since it is smaller than the sum of its proper divisors (12500712358470).

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

6411879301050 is a wasteful number, since it uses less digits than its factorization.

6411879301050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3495 (or 3484 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 6411879301050 in words is "six trillion, four hundred eleven billion, eight hundred seventy-nine million, three hundred one thousand, fifty".