61506271008 has 864 divisors, whose sum is σ = 232052760576. Its totient is φ = 15095089152.

The previous prime is 61506270949. The next prime is 61506271019. The reversal of 61506271008 is 80017260516.

61506271008 is a `hidden beast` number, since 6 + 15 + 0 + 627 + 10 + 0 + 8 = 666.

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 143 ways as a sum of consecutive naturals, for example, 368300941 + ... + 368301107.

It is an arithmetic number, because the mean of its divisors is an integer number (268579584).

Almost surely, 2^61506271008 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 61506271008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116026380288).

61506271008 is an abundant number, since it is smaller than the sum of its proper divisors (170546489568).

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

61506271008 is a wasteful number, since it uses less digits than its factorization.

61506271008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 61506271008 in words is "sixty-one billion, five hundred six million, two hundred seventy-one thousand, eight".