61404465024 has 192 divisors, whose sum is σ = 202970607840. Its totient is φ = 17454624768.

The previous prime is 61404465019. The next prime is 61404465037. The reversal of 61404465024 is 42056440416.

61404465024 is a `hidden beast` number, since 6 + 140 + 4 + 4 + 6 + 502 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a self number, because there is not a number n which added to its sum of digits gives 61404465024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1569282 + ... + 1607934.

Almost surely, 2^61404465024 is an apocalyptic number.

61404465024 is a gapful number since it is divisible by the number (64) 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 61404465024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101485303920).

61404465024 is an abundant number, since it is smaller than the sum of its proper divisors (141566142816).

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

61404465024 is a wasteful number, since it uses less digits than its factorization.

61404465024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38877 (or 38862 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 61404465024 in words is "sixty-one billion, four hundred four million, four hundred sixty-five thousand, twenty-four".