61651704960 has 512 divisors, whose sum is σ = 234138470400. Its totient is φ = 15467397120.

The previous prime is 61651704931. The next prime is 61651704971. The reversal of 61651704960 is 6940715616.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23793265 + ... + 23795855.

It is an arithmetic number, because the mean of its divisors is an integer number (457301700).

Almost surely, 2^61651704960 is an apocalyptic number.

61651704960 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 61651704960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117069235200).

61651704960 is an abundant number, since it is smaller than the sum of its proper divisors (172486765440).

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

61651704960 is an equidigital number, since it uses as much as digits as its factorization.

61651704960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2648 (or 2618 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 61651704960 in words is "sixty-one billion, six hundred fifty-one million, seven hundred four thousand, nine hundred sixty".