71875399680 has 832 divisors, whose sum is σ = 301953024000. Its totient is φ = 15872163840.

The previous prime is 71875399639. The next prime is 71875399789. The reversal of 71875399680 is 8699357817.

71875399680 is a `hidden beast` number, since 7 + 1 + 8 + 7 + 539 + 96 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 119992021 + ... + 119992619.

Almost surely, 2^71875399680 is an apocalyptic number.

71875399680 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 71875399680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150976512000).

71875399680 is an abundant number, since it is smaller than the sum of its proper divisors (230077624320).

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

71875399680 is a wasteful number, since it uses less digits than its factorization.

71875399680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 71875399680 in words is "seventy-one billion, eight hundred seventy-five million, three hundred ninety-nine thousand, six hundred eighty".