61200728064 has 544 divisors, whose sum is σ = 213236788480. Its totient is φ = 17199267840.

The previous prime is 61200728063. The next prime is 61200728201. The reversal of 61200728064 is 46082700216.

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

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (61200728063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1003290594 + ... + 1003290654.

Almost surely, 2^61200728064 is an apocalyptic number.

61200728064 is a gapful number since it is divisible by the number (64) 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 61200728064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106618394240).

61200728064 is an abundant number, since it is smaller than the sum of its proper divisors (152036060416).

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

61200728064 is an frugal number, since it uses more digits than its factorization.

61200728064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 61200728064 in words is "sixty-one billion, two hundred million, seven hundred twenty-eight thousand, sixty-four".