61632253492992 has 2160 divisors, whose sum is σ = 237988243164672. Its totient is φ = 15444823080960.

The previous prime is 61632253492987. The next prime is 61632253493059. The reversal of 61632253492992 is 29929435223616.

It is a happy number.

61632253492992 is a `hidden beast` number, since 6 + 1 + 6 + 3 + 2 + 2 + 53 + 492 + 9 + 92 = 666.

It is a super-2 number, since 2×61632253492992² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 112673223663 + ... + 112673224209.

Almost surely, 2^{61632253492992} 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 61632253492992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118994121582336).

61632253492992 is an abundant number, since it is smaller than the sum of its proper divisors (176355989671680).

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

61632253492992 is a wasteful number, since it uses less digits than its factorization.

61632253492992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 672 counting only the distinct ones).

The product of its digits is 75582720, while the sum is 63.

The spelling of 61632253492992 in words is "sixty-one trillion, six hundred thirty-two billion, two hundred fifty-three million, four hundred ninety-two thousand, nine hundred ninety-two".