71868492864 has 420 divisors, whose sum is σ = 260883714960. Its totient is φ = 19451819520.

The previous prime is 71868492859. The next prime is 71868492877. The reversal of 71868492864 is 46829486817.

71868492864 is a `hidden beast` number, since 7 + 1 + 8 + 68 + 492 + 86 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4818859 + ... + 4833749.

Almost surely, 2^71868492864 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 71868492864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130441857480).

71868492864 is an abundant number, since it is smaller than the sum of its proper divisors (189015222096).

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

71868492864 is a wasteful number, since it uses less digits than its factorization.

71868492864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14948 (or 14922 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 63.

The spelling of 71868492864 in words is "seventy-one billion, eight hundred sixty-eight million, four hundred ninety-two thousand, eight hundred sixty-four".