64947002900 has 36 divisors (see below), whose sum is σ = 151776152892. Its totient is φ = 23980431360.

The previous prime is 64947002899. The next prime is 64947002917. The reversal of 64947002900 is 920074946.

64947002900 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 6 ways, for example, as 376127236 + 64570875664 = 19394^2 + 254108^2 .

It is a super-2 number, since 2×64947002900² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24978317 + ... + 24980916.

It is an arithmetic number, because the mean of its divisors is an integer number (4216004247).

Almost surely, 2^64947002900 is an apocalyptic number.

It is an amenable number.

64947002900 is an abundant number, since it is smaller than the sum of its proper divisors (86829149992).

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

64947002900 is a wasteful number, since it uses less digits than its factorization.

64947002900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49959260 (or 49959253 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 41.

The spelling of 64947002900 in words is "sixty-four billion, nine hundred forty-seven million, two thousand, nine hundred".