61864513600 has 84 divisors (see below), whose sum is σ = 152279900164. Its totient is φ = 24736942080.

The previous prime is 61864513547. The next prime is 61864513651. The reversal of 61864513600 is 631546816.

It can be written as a sum of positive squares in 6 ways, for example, as 13450432576 + 48414081024 = 115976^2 + 220032^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 6198214 + ... + 6208186.

Almost surely, 2^61864513600 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 61864513600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76139950082).

61864513600 is an abundant number, since it is smaller than the sum of its proper divisors (90415386564).

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

61864513600 is a wasteful number, since it uses less digits than its factorization.

61864513600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13872 (or 13857 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 61864513600 in words is "sixty-one billion, eight hundred sixty-four million, five hundred thirteen thousand, six hundred".