6481693440 has 288 divisors, whose sum is σ = 24214041600. Its totient is φ = 1637314560.

The previous prime is 6481693417. The next prime is 6481693469. The reversal of 6481693440 is 443961846.

6481693440 = 8213² + 8214² + ... + 8307².

6481693440 is a `hidden beast` number, since 6 + 48 + 169 + 3 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 651705 + ... + 661575.

Almost surely, 2^6481693440 is an apocalyptic number.

6481693440 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 6481693440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12107020800).

6481693440 is an abundant number, since it is smaller than the sum of its proper divisors (17732348160).

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

6481693440 is a wasteful number, since it uses less digits than its factorization.

6481693440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9920 (or 9900 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 6481693440 is about 80508.9649666421. The cubic root of 6481693440 is about 1864.5018941128.

The spelling of 6481693440 in words is "six billion, four hundred eighty-one million, six hundred ninety-three thousand, four hundred forty".