61628600304 has 80 divisors (see below), whose sum is σ = 177317614240. Its totient is φ = 20494010880.

The previous prime is 61628600281. The next prime is 61628600347. The reversal of 61628600304 is 40300682616.

61628600304 is a `hidden beast` number, since 6 + 16 + 2 + 8 + 600 + 30 + 4 = 666.

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

It is a congruent number.

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, 12444 + ... + 351300.

It is an arithmetic number, because the mean of its divisors is an integer number (2216470178).

Almost surely, 2^61628600304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61628600304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88658807120).

61628600304 is an abundant number, since it is smaller than the sum of its proper divisors (115689013936).

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

61628600304 is a wasteful number, since it uses less digits than its factorization.

61628600304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339295 (or 339283 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 61628600304 in words is "sixty-one billion, six hundred twenty-eight million, six hundred thousand, three hundred four".