74037845376 has 384 divisors, whose sum is σ = 251295033600. Its totient is φ = 20677939200.

The previous prime is 74037845363. The next prime is 74037845473. The reversal of 74037845376 is 67354873047.

74037845376 is a `hidden beast` number, since 74 + 0 + 37 + 8 + 4 + 537 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×74037845376³ (a number of 34 digits) contains 333 as substring.

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, 8904261 + ... + 8912571.

It is an arithmetic number, because the mean of its divisors is an integer number (654414150).

Almost surely, 2^74037845376 is an apocalyptic number.

74037845376 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 74037845376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125647516800).

74037845376 is an abundant number, since it is smaller than the sum of its proper divisors (177257188224).

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

74037845376 is a wasteful number, since it uses less digits than its factorization.

74037845376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8398 (or 8383 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 74037845376 in words is "seventy-four billion, thirty-seven million, eight hundred forty-five thousand, three hundred seventy-six".