74015640 has 128 divisors (see below), whose sum is σ = 259776000. Its totient is φ = 18693504.

The previous prime is 74015639. The next prime is 74015713. The reversal of 74015640 is 4651047.

74015640 is a `hidden beast` number, since 7 + 4 + 0 + 15 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18717 + ... + 22323.

It is an arithmetic number, because the mean of its divisors is an integer number (2029500).

Almost surely, 2^74015640 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 74015640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129888000).

74015640 is an abundant number, since it is smaller than the sum of its proper divisors (185760360).

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

74015640 is a wasteful number, since it uses less digits than its factorization.

74015640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3646 (or 3636 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 74015640 is about 8603.2342755501. The cubic root of 74015640 is about 419.8632207668.

Adding to 74015640 its reverse (4651047), we get a palindrome (78666687).

It can be divided in two parts, 7401 and 5640, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 74015640 in words is "seventy-four million, fifteen thousand, six hundred forty".