61176155040 has 2304 divisors, whose sum is σ = 305794621440. Its totient is φ = 11217346560.

The previous prime is 61176155017. The next prime is 61176155093. The reversal of 61176155040 is 4055167116.

It is a happy number.

61176155040 is a `hidden beast` number, since 6 + 1 + 1 + 7 + 61 + 550 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 61176154986 and 61176155004.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1301620297 + ... + 1301620343.

It is an arithmetic number, because the mean of its divisors is an integer number (132723360).

Almost surely, 2^61176155040 is an apocalyptic number.

61176155040 is a gapful number since it is divisible by the number (60) 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 61176155040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152897310720).

61176155040 is an abundant number, since it is smaller than the sum of its proper divisors (244618466400).

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

61176155040 is a wasteful number, since it uses less digits than its factorization.

61176155040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 61176155040 in words is "sixty-one billion, one hundred seventy-six million, one hundred fifty-five thousand, forty".