65056476672 has 960 divisors, whose sum is σ = 235109952000. Its totient is φ = 17663754240.

The previous prime is 65056476671. The next prime is 65056476679. The reversal of 65056476672 is 27667465056.

65056476672 is a `hidden beast` number, since 6 + 5 + 0 + 564 + 7 + 6 + 6 + 72 = 666.

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 (65056476671) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 730971604 + ... + 730971692.

It is an arithmetic number, because the mean of its divisors is an integer number (244906200).

Almost surely, 2^65056476672 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 65056476672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117554976000).

65056476672 is an abundant number, since it is smaller than the sum of its proper divisors (170053475328).

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

65056476672 is a wasteful number, since it uses less digits than its factorization.

65056476672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 65056476672 in words is "sixty-five billion, fifty-six million, four hundred seventy-six thousand, six hundred seventy-two".