61140362976 has 432 divisors, whose sum is σ = 226526332032. Its totient is φ = 15878903040.

The previous prime is 61140362953. The next prime is 61140362981. The reversal of 61140362976 is 67926304116.

61140362976 is a `hidden beast` number, since 6 + 1 + 14 + 0 + 3 + 629 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6581631 + ... + 6590913.

Almost surely, 2^61140362976 is an apocalyptic number.

61140362976 is a gapful number since it is divisible by the number (66) 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 61140362976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113263166016).

61140362976 is an abundant number, since it is smaller than the sum of its proper divisors (165385969056).

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

61140362976 is a wasteful number, since it uses less digits than its factorization.

61140362976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9337 (or 9306 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 61140362976 in words is "sixty-one billion, one hundred forty million, three hundred sixty-two thousand, nine hundred seventy-six".