61404901632 has 288 divisors, whose sum is σ = 196323747200. Its totient is φ = 18865446912.

The previous prime is 61404901627. The next prime is 61404901637. The reversal of 61404901632 is 23610940416.

61404901632 is a `hidden beast` number, since 6 + 1 + 4 + 0 + 490 + 163 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (61404901627) and next prime (61404901637).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (61404901637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4852818 + ... + 4865454.

Almost surely, 2^61404901632 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 61404901632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98161873600).

61404901632 is an abundant number, since it is smaller than the sum of its proper divisors (134918845568).

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

61404901632 is a wasteful number, since it uses less digits than its factorization.

61404901632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12718 (or 12698 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 61404901632 in words is "sixty-one billion, four hundred four million, nine hundred one thousand, six hundred thirty-two".