61577472000 has 768 divisors, whose sum is σ = 230711120640. Its totient is φ = 14450688000.

The previous prime is 61577471951. The next prime is 61577472007. The reversal of 61577472000 is 27477516.

It is a tau number, because it is divible by the number of its divisors (768).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 61577472000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61577472007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 312575902 + ... + 312576098.

It is an arithmetic number, because the mean of its divisors is an integer number (300405105).

Almost surely, 2^61577472000 is an apocalyptic number.

61577472000 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 61577472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115355560320).

61577472000 is an abundant number, since it is smaller than the sum of its proper divisors (169133648640).

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

61577472000 is a wasteful number, since it uses less digits than its factorization.

61577472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 39.

The spelling of 61577472000 in words is "sixty-one billion, five hundred seventy-seven million, four hundred seventy-two thousand".