76274774352 has 360 divisors, whose sum is σ = 269830229760. Its totient is φ = 19978721280.

The previous prime is 76274774311. The next prime is 76274774353. The reversal of 76274774352 is 25347747267.

76274774352 is a `hidden beast` number, since 7 + 627 + 4 + 7 + 7 + 4 + 3 + 5 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76274774353) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4146808 + ... + 4165160.

It is an arithmetic number, because the mean of its divisors is an integer number (749528416).

Almost surely, 2^76274774352 is an apocalyptic number.

76274774352 is a gapful number since it is divisible by the number (72) 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 76274774352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134915114880).

76274774352 is an abundant number, since it is smaller than the sum of its proper divisors (193555455408).

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

76274774352 is a wasteful number, since it uses less digits than its factorization.

76274774352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18431 (or 18415 counting only the distinct ones).

The product of its digits is 13829760, while the sum is 54.

The spelling of 76274774352 in words is "seventy-six billion, two hundred seventy-four million, seven hundred seventy-four thousand, three hundred fifty-two".