71406192960 has 84 divisors (see below), whose sum is σ = 245607561108. Its totient is φ = 19041650688.

The previous prime is 71406192953. The next prime is 71406192961. The reversal of 71406192960 is 6929160417.

71406192960 is a `hidden beast` number, since 7 + 1 + 4 + 0 + 619 + 29 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 38607534144 + 32798658816 = 196488^2 + 181104^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71406192961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12394029 + ... + 12399788.

It is an arithmetic number, because the mean of its divisors is an integer number (2923899537).

Almost surely, 2^71406192960 is an apocalyptic number.

It is an amenable number.

71406192960 is an abundant number, since it is smaller than the sum of its proper divisors (174201368148).

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

71406192960 is a wasteful number, since it uses less digits than its factorization.

71406192960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24793840 (or 24793827 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

It can be divided in two parts, 7140 and 6192960, that added together give a square (6200100 = 2490²).

The spelling of 71406192960 in words is "seventy-one billion, four hundred six million, one hundred ninety-two thousand, nine hundred sixty".