61917264000 has 512 divisors, whose sum is σ = 241505971200. Its totient is φ = 15538176000.

The previous prime is 61917263981. The next prime is 61917264041. The reversal of 61917264000 is 46271916.

61917264000 is a `hidden beast` number, since 6 + 1 + 9 + 1 + 7 + 2 + 640 + 0 + 0 = 666.

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

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7339785 + ... + 7348215.

It is an arithmetic number, because the mean of its divisors is an integer number (471691350).

Almost surely, 2^61917264000 is an apocalyptic number.

61917264000 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 61917264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120752985600).

61917264000 is an abundant number, since it is smaller than the sum of its proper divisors (179588707200).

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

61917264000 is a wasteful number, since it uses less digits than its factorization.

61917264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8486 (or 8458 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 61917264000 in words is "sixty-one billion, nine hundred seventeen million, two hundred sixty-four thousand".