76674291456 has 288 divisors, whose sum is σ = 246097600000. Its totient is φ = 20702822400.

The previous prime is 76674291413. The next prime is 76674291469. The reversal of 76674291456 is 65419247667.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 76674291396 and 76674291405.

It is a congruent number.

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, 61387920 + ... + 61389168.

Almost surely, 2^76674291456 is an apocalyptic number.

76674291456 is a gapful number since it is divisible by the number (76) 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 76674291456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123048800000).

76674291456 is an abundant number, since it is smaller than the sum of its proper divisors (169423308544).

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

76674291456 is a wasteful number, since it uses less digits than its factorization.

76674291456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1895 (or 1881 counting only the distinct ones).

The product of its digits is 15240960, while the sum is 57.

The spelling of 76674291456 in words is "seventy-six billion, six hundred seventy-four million, two hundred ninety-one thousand, four hundred fifty-six".