74672640 has 240 divisors, whose sum is σ = 296195328. Its totient is φ = 17031168.

The previous prime is 74672629. The next prime is 74672657. The reversal of 74672640 is 4627647.

74672640 is a `hidden beast` number, since 7 + 4 + 6 + 7 + 2 + 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 = 74672595 and 74672604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161049 + ... + 161511.

Almost surely, 2^74672640 is an apocalyptic number.

74672640 is a gapful number since it is divisible by the number (70) 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 74672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148097664).

74672640 is an abundant number, since it is smaller than the sum of its proper divisors (221522688).

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

74672640 is a wasteful number, since it uses less digits than its factorization.

74672640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 74672640 is about 8641.3332304685. Note that the first 3 decimals coincide. The cubic root of 74672640 is about 421.1018686281.

The spelling of 74672640 in words is "seventy-four million, six hundred seventy-two thousand, six hundred forty".