71975464704 has 1152 divisors, whose sum is σ = 270318182400. Its totient is φ = 18811699200.

The previous prime is 71975464697. The next prime is 71975464709. The reversal of 71975464704 is 40746457917.

It is a happy number.

71975464704 is a `hidden beast` number, since 7 + 1 + 97 + 546 + 4 + 7 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71975464709) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2321789169 + ... + 2321789199.

It is an arithmetic number, because the mean of its divisors is an integer number (234651200).

Almost surely, 2^71975464704 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 71975464704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135159091200).

71975464704 is an abundant number, since it is smaller than the sum of its proper divisors (198342717696).

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

71975464704 is a wasteful number, since it uses less digits than its factorization.

71975464704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 71975464704 in words is "seventy-one billion, nine hundred seventy-five million, four hundred sixty-four thousand, seven hundred four".