76491537408 has 440 divisors, whose sum is σ = 268393633200. Its totient is φ = 21392916480.

The previous prime is 76491537403. The next prime is 76491537433. The reversal of 76491537408 is 80473519467.

76491537408 is a `hidden beast` number, since 7 + 64 + 9 + 1 + 537 + 40 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76491537401) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 11857768 + ... + 11864216.

It is an arithmetic number, because the mean of its divisors is an integer number (609985530).

Almost surely, 2^76491537408 is an apocalyptic number.

76491537408 is a gapful number since it is divisible by the number (78) 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 76491537408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134196816600).

76491537408 is an abundant number, since it is smaller than the sum of its proper divisors (191902095792).

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

76491537408 is a wasteful number, since it uses less digits than its factorization.

76491537408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6505 (or 6478 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 76491537408 in words is "seventy-six billion, four hundred ninety-one million, five hundred thirty-seven thousand, four hundred eight".