64007012772 has 18 divisors (see below), whose sum is σ = 161795504598. Its totient is φ = 21335670912.

The previous prime is 64007012761. The next prime is 64007012803. The reversal of 64007012772 is 27721070046.

It is a happy number.

64007012772 is a `hidden beast` number, since 640 + 0 + 7 + 0 + 1 + 2 + 7 + 7 + 2 = 666.

64007012772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 40632883776 + 23374128996 = 201576^2 + 152886^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×64007012772² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1777972577 = 64007012772 / (6 + 4 + 0 + 0 + 7 + 0 + 1 + 2 + 7 + 7 + 2).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 888986253 + ... + 888986324.

Almost surely, 2^64007012772 is an apocalyptic number.

It is an amenable number.

64007012772 is an abundant number, since it is smaller than the sum of its proper divisors (97788491826).

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

64007012772 is a wasteful number, since it uses less digits than its factorization.

64007012772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1777972587 (or 1777972582 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The spelling of 64007012772 in words is "sixty-four billion, seven million, twelve thousand, seven hundred seventy-two".