74675565268416 has 896 divisors, whose sum is σ = 275287271014400. Its totient is φ = 19372959682560.

The previous prime is 74675565268399. The next prime is 74675565268433. The reversal of 74675565268416 is 61486256557647.

74675565268416 is a `hidden beast` number, since 7 + 4 + 6 + 7 + 5 + 5 + 6 + 526 + 84 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (74675565268399) and next prime (74675565268433).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 569668161 + ... + 569799231.

Almost surely, 2^{74675565268416} is an apocalyptic number.

74675565268416 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 74675565268416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137643635507200).

74675565268416 is an abundant number, since it is smaller than the sum of its proper divisors (200611705745984).

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

74675565268416 is a wasteful number, since it uses less digits than its factorization.

74675565268416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131222 (or 131206 counting only the distinct ones).

The product of its digits is 2032128000, while the sum is 72.

The spelling of 74675565268416 in words is "seventy-four trillion, six hundred seventy-five billion, five hundred sixty-five million, two hundred sixty-eight thousand, four hundred sixteen".