61462522560 has 224 divisors, whose sum is σ = 199438686720. Its totient is φ = 16033185792.

The previous prime is 61462522553. The next prime is 61462522573. The reversal of 61462522560 is 6522526416.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8203296 + ... + 8210784.

It is an arithmetic number, because the mean of its divisors is an integer number (890351280).

Almost surely, 2^61462522560 is an apocalyptic number.

61462522560 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 61462522560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99719343360).

61462522560 is an abundant number, since it is smaller than the sum of its proper divisors (137976164160).

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

61462522560 is a wasteful number, since it uses less digits than its factorization.

61462522560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7695 (or 7685 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 61462522560 in words is "sixty-one billion, four hundred sixty-two million, five hundred twenty-two thousand, five hundred sixty".