76450832640 has 1728 divisors, whose sum is σ = 351485062656. Its totient is φ = 15479341056.

The previous prime is 76450832597. The next prime is 76450832687. The reversal of 76450832640 is 4623805467.

76450832640 is a `hidden beast` number, since 76 + 4 + 508 + 32 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×76450832640² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1047271644 + ... + 1047271716.

Almost surely, 2^76450832640 is an apocalyptic number.

76450832640 is a gapful number since it is divisible by the number (70) 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 76450832640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175742531328).

76450832640 is an abundant number, since it is smaller than the sum of its proper divisors (275034230016).

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

76450832640 is a wasteful number, since it uses less digits than its factorization.

76450832640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 76450832640 in words is "seventy-six billion, four hundred fifty million, eight hundred thirty-two thousand, six hundred forty".