74714883264 has 336 divisors, whose sum is σ = 252959616000. Its totient is φ = 21072489984.

The previous prime is 74714883247. The next prime is 74714883281. The reversal of 74714883264 is 46238841747.

74714883264 is a `hidden beast` number, since 7 + 4 + 71 + 488 + 32 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (74714883247) and next prime (74714883281).

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 74714883264.

It is a congruent number.

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, 15605479 + ... + 15610265.

It is an arithmetic number, because the mean of its divisors is an integer number (752856000).

Almost surely, 2^74714883264 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 74714883264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126479808000).

74714883264 is an abundant number, since it is smaller than the sum of its proper divisors (178244732736).

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

74714883264 is a wasteful number, since it uses less digits than its factorization.

74714883264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4905 (or 4878 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The spelling of 74714883264 in words is "seventy-four billion, seven hundred fourteen million, eight hundred eighty-three thousand, two hundred sixty-four".