61309180800 has 1536 divisors, whose sum is σ = 278660736000. Its totient is φ = 12846366720.

The previous prime is 61309180799. The next prime is 61309180861. The reversal of 61309180800 is 808190316.

61309180800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 688867156 + ... + 688867244.

It is an arithmetic number, because the mean of its divisors is an integer number (181419750).

Almost surely, 2^61309180800 is an apocalyptic number.

61309180800 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 61309180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139330368000).

61309180800 is an abundant number, since it is smaller than the sum of its proper divisors (217351555200).

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

61309180800 is a wasteful number, since it uses less digits than its factorization.

61309180800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 61309180800 in words is "sixty-one billion, three hundred nine million, one hundred eighty thousand, eight hundred".