74776913568 has 288 divisors, whose sum is σ = 250214904576. Its totient is φ = 20735668224.

The previous prime is 74776913413. The next prime is 74776913587. The reversal of 74776913568 is 86531967747.

74776913568 is a `hidden beast` number, since 7 + 4 + 7 + 7 + 69 + 1 + 3 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×74776913568² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37518780 + ... + 37520772.

It is an arithmetic number, because the mean of its divisors is an integer number (868801752).

Almost surely, 2^74776913568 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 74776913568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125107452288).

74776913568 is an abundant number, since it is smaller than the sum of its proper divisors (175437991008).

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

74776913568 is a wasteful number, since it uses less digits than its factorization.

74776913568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2556 (or 2545 counting only the distinct ones).

The product of its digits is 53343360, while the sum is 63.

The spelling of 74776913568 in words is "seventy-four billion, seven hundred seventy-six million, nine hundred thirteen thousand, five hundred sixty-eight".