71496877320 has 384 divisors, whose sum is σ = 260375731200. Its totient is φ = 16867699200.

The previous prime is 71496877303. The next prime is 71496877399. The reversal of 71496877320 is 2377869417.

71496877320 is a `hidden beast` number, since 7 + 1 + 496 + 87 + 73 + 2 + 0 = 666.

It is a Cunningham number, because it is equal to 267389²-1.

It is a super-2 number, since 2×71496877320² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24063435 + ... + 24066405.

It is an arithmetic number, because the mean of its divisors is an integer number (678061800).

Almost surely, 2^71496877320 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 71496877320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130187865600).

71496877320 is an abundant number, since it is smaller than the sum of its proper divisors (188878853880).

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

71496877320 is a wasteful number, since it uses less digits than its factorization.

71496877320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3161 (or 3154 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 71496877320 in words is "seventy-one billion, four hundred ninety-six million, eight hundred seventy-seven thousand, three hundred twenty".