71512784640 has 432 divisors, whose sum is σ = 272590456320. Its totient is φ = 17164984320.

The previous prime is 71512784633. The next prime is 71512784653. The reversal of 71512784640 is 4648721517.

71512784640 is a `hidden beast` number, since 7 + 1 + 512 + 78 + 4 + 64 + 0 = 666.

It is a super-2 number, since 2×71512784640² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13049421 + ... + 13054899.

Almost surely, 2^71512784640 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 71512784640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136295228160).

71512784640 is an abundant number, since it is smaller than the sum of its proper divisors (201077671680).

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

71512784640 is a wasteful number, since it uses less digits than its factorization.

71512784640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5620 (or 5603 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 71512784640 in words is "seventy-one billion, five hundred twelve million, seven hundred eighty-four thousand, six hundred forty".