61604914176000 has 4480 divisors, whose sum is σ = 271542295664640. Its totient is φ = 13759414272000.

The previous prime is 61604914175999. The next prime is 61604914176017. The reversal of 61604914176000 is 67141940616.

61604914176000 is a `hidden beast` number, since 6 + 1 + 60 + 491 + 41 + 7 + 60 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 319 ways as a sum of consecutive naturals, for example, 635102207952 + ... + 635102208048.

It is an arithmetic number, because the mean of its divisors is an integer number (60612119568).

Almost surely, 2^{61604914176000} is an apocalyptic number.

61604914176000 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 61604914176000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135771147832320).

61604914176000 is an abundant number, since it is smaller than the sum of its proper divisors (209937381488640).

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

61604914176000 is a wasteful number, since it uses less digits than its factorization.

61604914176000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 61604914176000 in words is "sixty-one trillion, six hundred four billion, nine hundred fourteen million, one hundred seventy-six thousand".