76945974530436 has 288 divisors, whose sum is σ = 227163983155200. Its totient is φ = 21701947714560.

The previous prime is 76945974530329. The next prime is 76945974530449. The reversal of 76945974530436 is 63403547954967.

76945974530436 is a `hidden beast` number, since 7 + 6 + 9 + 4 + 59 + 7 + 4 + 530 + 4 + 36 = 666.

It is a super-2 number, since 2×76945974530436² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 498474555 + ... + 498628893.

It is an arithmetic number, because the mean of its divisors is an integer number (788763830400).

Almost surely, 2^{76945974530436} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76945974530436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113581991577600).

76945974530436 is an abundant number, since it is smaller than the sum of its proper divisors (150218008624764).

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

76945974530436 is a wasteful number, since it uses less digits than its factorization.

76945974530436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155199 (or 155194 counting only the distinct ones).

The product of its (nonzero) digits is 2057529600, while the sum is 72.

The spelling of 76945974530436 in words is "seventy-six trillion, nine hundred forty-five billion, nine hundred seventy-four million, five hundred thirty thousand, four hundred thirty-six".