74671951680 has 448 divisors, whose sum is σ = 278818848000. Its totient is φ = 18760605696.

The previous prime is 74671951657. The next prime is 74671951687. The reversal of 74671951680 is 8615917647.

74671951680 is a `hidden beast` number, since 7 + 46 + 7 + 1 + 9 + 516 + 80 = 666.

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 (74671951687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32338366 + ... + 32340674.

It is an arithmetic number, because the mean of its divisors is an integer number (622363500).

Almost surely, 2^74671951680 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 74671951680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139409424000).

74671951680 is an abundant number, since it is smaller than the sum of its proper divisors (204146896320).

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

74671951680 is a wasteful number, since it uses less digits than its factorization.

74671951680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2551 (or 2535 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 74671951680 in words is "seventy-four billion, six hundred seventy-one million, nine hundred fifty-one thousand, six hundred eighty".