74020865688 has 576 divisors, whose sum is σ = 270417813120. Its totient is φ = 18746380800.

The previous prime is 74020865687. The next prime is 74020865689. The reversal of 74020865688 is 88656802047.

74020865688 is a `hidden beast` number, since 74 + 0 + 2 + 0 + 8 + 6 + 568 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (74020865687) and next prime (74020865689).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74020865687) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 42959595 + ... + 42961317.

It is an arithmetic number, because the mean of its divisors is an integer number (469475370).

Almost surely, 2^74020865688 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 74020865688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135208906560).

74020865688 is an abundant number, since it is smaller than the sum of its proper divisors (196396947432).

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

74020865688 is a wasteful number, since it uses less digits than its factorization.

74020865688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 74020865688 in words is "seventy-four billion, twenty million, eight hundred sixty-five thousand, six hundred eighty-eight".