71896688640 has 1440 divisors, whose sum is σ = 315194279400. Its totient is φ = 15606743040.

The previous prime is 71896688627. The next prime is 71896688653. The reversal of 71896688640 is 4688669817.

It is an interprime number because it is at equal distance from previous prime (71896688627) and next prime (71896688653).

It can be written as a sum of positive squares in 4 ways, for example, as 38240584704 + 33656103936 = 195552^2 + 183456^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

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 119 ways as a sum of consecutive naturals, for example, 1178634210 + ... + 1178634270.

Almost surely, 2^71896688640 is an apocalyptic number.

71896688640 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 71896688640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157597139700).

71896688640 is an abundant number, since it is smaller than the sum of its proper divisors (243297590760).

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

71896688640 is a wasteful number, since it uses less digits than its factorization.

71896688640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 71896688640 in words is "seventy-one billion, eight hundred ninety-six million, six hundred eighty-eight thousand, six hundred forty".