71757946260 has 1152 divisors, whose sum is σ = 312785141760. Its totient is φ = 12831436800.

The previous prime is 71757946223. The next prime is 71757946283. The reversal of 71757946260 is 6264975717.

71757946260 is a `hidden beast` number, since 7 + 1 + 7 + 5 + 7 + 9 + 4 + 626 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 71757946197 and 71757946206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 161981599 + ... + 161982041.

It is an arithmetic number, because the mean of its divisors is an integer number (271514880).

Almost surely, 2^71757946260 is an apocalyptic number.

71757946260 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 71757946260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156392570880).

71757946260 is an abundant number, since it is smaller than the sum of its proper divisors (241027195500).

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

71757946260 is a wasteful number, since it uses less digits than its factorization.

71757946260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 71757946260 in words is "seventy-one billion, seven hundred fifty-seven million, nine hundred forty-six thousand, two hundred sixty".