61586724816 has 320 divisors, whose sum is σ = 184057068800. Its totient is φ = 19953838080.

The previous prime is 61586724803. The next prime is 61586724841. The reversal of 61586724816 is 61842768516.

61586724816 is a `hidden beast` number, since 6 + 1 + 586 + 7 + 2 + 48 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 255546456 + ... + 255546696.

It is an arithmetic number, because the mean of its divisors is an integer number (575178340).

Almost surely, 2^61586724816 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 61586724816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92028534400).

61586724816 is an abundant number, since it is smaller than the sum of its proper divisors (122470343984).

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

61586724816 is a wasteful number, since it uses less digits than its factorization.

61586724816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 422 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 61586724816 in words is "sixty-one billion, five hundred eighty-six million, seven hundred twenty-four thousand, eight hundred sixteen".