61615101461760 has 6048 divisors, whose sum is σ = 298085065555200. Its totient is φ = 12167407042560.

The previous prime is 61615101461729. The next prime is 61615101461789. The reversal of 61615101461760 is 6716410151616.

It is a happy number.

61615101461760 is a `hidden beast` number, since 6 + 1 + 6 + 1 + 5 + 10 + 14 + 617 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 1432909336299 + ... + 1432909336341.

Almost surely, 2^{61615101461760} is an apocalyptic number.

61615101461760 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 61615101461760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149042532777600).

61615101461760 is an abundant number, since it is smaller than the sum of its proper divisors (236469964093440).

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

61615101461760 is an equidigital number, since it uses as much as digits as its factorization.

61615101461760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 61615101461760 in words is "sixty-one trillion, six hundred fifteen billion, one hundred one million, four hundred sixty-one thousand, seven hundred sixty".