61516070784 has 480 divisors, whose sum is σ = 224203537800. Its totient is φ = 16648353792.

The previous prime is 61516070767. The next prime is 61516070849. The reversal of 61516070784 is 48707061516.

61516070784 is a `hidden beast` number, since 61 + 516 + 0 + 7 + 0 + 78 + 4 = 666.

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 9649422 + ... + 9655794.

Almost surely, 2^61516070784 is an apocalyptic number.

61516070784 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 61516070784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112101768900).

61516070784 is an abundant number, since it is smaller than the sum of its proper divisors (162687467016).

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

61516070784 is a wasteful number, since it uses less digits than its factorization.

61516070784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6432 (or 6404 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 61516070784 in words is "sixty-one billion, five hundred sixteen million, seventy thousand, seven hundred eighty-four".