61321607424 has 729 divisors, whose sum is σ = 229493176731. Its totient is φ = 15689963520.

The previous prime is 61321607411. The next prime is 61321607447. The reversal of 61321607424 is 42470612316.

The square root of 61321607424 is 247632.

It is a perfect power (a square), and thus also a powerful number.

61321607424 is a `hidden beast` number, since 6 + 1 + 3 + 2 + 1 + 607 + 42 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 915247839 + ... + 915247905.

Almost surely, 2^61321607424 is an apocalyptic number.

61321607424 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

61321607424 is the 247632-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61321607424

61321607424 is an abundant number, since it is smaller than the sum of its proper divisors (168171569307).

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

61321607424 is a wasteful number, since it uses less digits than its factorization.

61321607424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Multiplying 61321607424 by its sum of digits (36), we get a square (2207577867264 = 1485792²).

61321607424 divided by its sum of digits (36) gives a square (1703377984 = 41272²).

The spelling of 61321607424 in words is "sixty-one billion, three hundred twenty-one million, six hundred seven thousand, four hundred twenty-four".