61576033920 has 128 divisors (see below), whose sum is σ = 196770435840. Its totient is φ = 16378712064.

The previous prime is 61576033859. The next prime is 61576033943. The reversal of 61576033920 is 2933067516.

61576033920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 721849 + ... + 802631.

It is an arithmetic number, because the mean of its divisors is an integer number (1537269030).

Almost surely, 2^61576033920 is an apocalyptic number.

61576033920 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 61576033920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98385217920).

61576033920 is an abundant number, since it is smaller than the sum of its proper divisors (135194401920).

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

61576033920 is a wasteful number, since it uses less digits than its factorization.

61576033920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81202 (or 81190 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 42.

The spelling of 61576033920 in words is "sixty-one billion, five hundred seventy-six million, thirty-three thousand, nine hundred twenty".