74636640 has 240 divisors, whose sum is σ = 284307408. Its totient is φ = 18330624.

The previous prime is 74636621. The next prime is 74636651. The reversal of 74636640 is 4663647.

74636640 is a `hidden beast` number, since 7 + 4 + 6 + 3 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 74636595 and 74636604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 168259 + ... + 168701.

Almost surely, 2^74636640 is an apocalyptic number.

74636640 is the 4320-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74636640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142153704).

74636640 is an abundant number, since it is smaller than the sum of its proper divisors (209670768).

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

74636640 is a wasteful number, since it uses less digits than its factorization.

74636640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 74636640 is about 8639.2499674451. The cubic root of 74636640 is about 421.0341860779.

The spelling of 74636640 in words is "seventy-four million, six hundred thirty-six thousand, six hundred forty".