61609574400 has 768 divisors, whose sum is σ = 231698206080. Its totient is φ = 14313062400.

The previous prime is 61609574399. The next prime is 61609574441. The reversal of 61609574400 is 447590616.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1162444774 + ... + 1162444826.

Almost surely, 2^61609574400 is an apocalyptic number.

61609574400 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 61609574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115849103040).

61609574400 is an abundant number, since it is smaller than the sum of its proper divisors (170088631680).

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

61609574400 is a wasteful number, since it uses less digits than its factorization.

61609574400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 61609574400 in words is "sixty-one billion, six hundred nine million, five hundred seventy-four thousand, four hundred".