61291282624 has 112 divisors (see below), whose sum is σ = 146750629536. Its totient is φ = 25021440000.

The previous prime is 61291282609. The next prime is 61291282631. The reversal of 61291282624 is 42628219216.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248124 + ... + 429124.

It is an arithmetic number, because the mean of its divisors is an integer number (1310273478).

Almost surely, 2^61291282624 is an apocalyptic number.

61291282624 is a gapful number since it is divisible by the number (64) 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 61291282624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73375314768).

61291282624 is an abundant number, since it is smaller than the sum of its proper divisors (85459346912).

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

61291282624 is a wasteful number, since it uses less digits than its factorization.

61291282624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181074 (or 181064 counting only the distinct ones).

The product of its digits is 165888, while the sum is 43.

The spelling of 61291282624 in words is "sixty-one billion, two hundred ninety-one million, two hundred eighty-two thousand, six hundred twenty-four".