61004760516 has 288 divisors, whose sum is σ = 188798238720. Its totient is φ = 16231767552.

The previous prime is 61004760503. The next prime is 61004760541. The reversal of 61004760516 is 61506740016.

61004760516 is a `hidden beast` number, since 6 + 1 + 0 + 0 + 47 + 605 + 1 + 6 = 666.

It is a super-2 number, since 2×61004760516² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65106000 + ... + 65106936.

It is an arithmetic number, because the mean of its divisors is an integer number (655549440).

Almost surely, 2^61004760516 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 61004760516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94399119360).

61004760516 is an abundant number, since it is smaller than the sum of its proper divisors (127793478204).

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

61004760516 is a wasteful number, since it uses less digits than its factorization.

61004760516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 61004760516 in words is "sixty-one billion, four million, seven hundred sixty thousand, five hundred sixteen".