61149575760 has 640 divisors, whose sum is σ = 242651136000. Its totient is φ = 12391833600.

The previous prime is 61149575749. The next prime is 61149575771. The reversal of 61149575760 is 6757594116.

It is a happy number.

61149575760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61149575749) and next prime (61149575771).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 122543991 + ... + 122544489.

It is an arithmetic number, because the mean of its divisors is an integer number (379142400).

Almost surely, 2^61149575760 is an apocalyptic number.

61149575760 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 61149575760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121325568000).

61149575760 is an abundant number, since it is smaller than the sum of its proper divisors (181501560240).

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

61149575760 is a wasteful number, since it uses less digits than its factorization.

61149575760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 51.

The spelling of 61149575760 in words is "sixty-one billion, one hundred forty-nine million, five hundred seventy-five thousand, seven hundred sixty".