71764392960000 has 4480 divisors, whose sum is σ = 317278106006400. Its totient is φ = 16052649984000.

The previous prime is 71764392959993. The next prime is 71764392960067. The reversal of 71764392960000 is 6929346717.

It is a happy number.

71764392960000 is a `hidden beast` number, since 7 + 1 + 7 + 6 + 4 + 3 + 9 + 29 + 600 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2474634239986 + ... + 2474634240014.

It is an arithmetic number, because the mean of its divisors is an integer number (70821005805).

Almost surely, 2^{71764392960000} 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 71764392960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158639053003200).

71764392960000 is an abundant number, since it is smaller than the sum of its proper divisors (245513713046400).

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

71764392960000 is an frugal number, since it uses more digits than its factorization.

71764392960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 71764392960000 in words is "seventy-one trillion, seven hundred sixty-four billion, three hundred ninety-two million, nine hundred sixty thousand".