61072704000 has 2240 divisors, whose sum is σ = 301414493952. Its totient is φ = 11943936000.

The previous prime is 61072703987. The next prime is 61072704001. The reversal of 61072704000 is 40727016.

61072704000 is a `hidden beast` number, since 610 + 7 + 2 + 7 + 0 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (61072704001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3592511992 + ... + 3592512008.

Almost surely, 2^61072704000 is an apocalyptic number.

61072704000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61072704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150707246976).

61072704000 is an abundant number, since it is smaller than the sum of its proper divisors (240341789952).

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

61072704000 is an equidigital number, since it uses as much as digits as its factorization.

61072704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 61072704000 in words is "sixty-one billion, seventy-two million, seven hundred four thousand".