61607372428800 has 1680 divisors, whose sum is σ = 250841424786480. Its totient is φ = 14864228352000.

The previous prime is 61607372428741. The next prime is 61607372428831. The reversal of 61607372428800 is 882427370616.

61607372428800 is a `hidden beast` number, since 6 + 1 + 6 + 0 + 73 + 72 + 428 + 80 + 0 = 666.

It is a super-2 number, since 2×61607372428800² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 23505291490 + ... + 23505294110.

Almost surely, 2^{61607372428800} is an apocalyptic number.

61607372428800 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 61607372428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125420712393240).

61607372428800 is an abundant number, since it is smaller than the sum of its proper divisors (189234052357680).

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

61607372428800 is a wasteful number, since it uses less digits than its factorization.

61607372428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2907 (or 2871 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 61607372428800 in words is "sixty-one trillion, six hundred seven billion, three hundred seventy-two million, four hundred twenty-eight thousand, eight hundred".