61270732800 has 780 divisors, whose sum is σ = 232276773960. Its totient is φ = 15960637440.

The previous prime is 61270732777. The next prime is 61270732837. The reversal of 61270732800 is 823707216.

61270732800 is a `hidden beast` number, since 61 + 270 + 7 + 328 + 0 + 0 = 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 59 ways as a sum of consecutive naturals, for example, 688435156 + ... + 688435244.

Almost surely, 2^61270732800 is an apocalyptic number.

61270732800 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 61270732800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116138386980).

61270732800 is an abundant number, since it is smaller than the sum of its proper divisors (171006041160).

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

61270732800 is an equidigital number, since it uses as much as digits as its factorization.

61270732800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 61270732800 in words is "sixty-one billion, two hundred seventy million, seven hundred thirty-two thousand, eight hundred".