61364611152 has 360 divisors, whose sum is σ = 196139300448. Its totient is φ = 18559756800.

The previous prime is 61364611109. The next prime is 61364611193. The reversal of 61364611152 is 25111646316.

61364611152 is a `hidden beast` number, since 6 + 1 + 3 + 646 + 1 + 1 + 1 + 5 + 2 = 666.

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 71 ways as a sum of consecutive naturals, for example, 40080627 + ... + 40082157.

Almost surely, 2^61364611152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61364611152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98069650224).

61364611152 is an abundant number, since it is smaller than the sum of its proper divisors (134774689296).

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

61364611152 is a wasteful number, since it uses less digits than its factorization.

61364611152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641 (or 1610 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The spelling of 61364611152 in words is "sixty-one billion, three hundred sixty-four million, six hundred eleven thousand, one hundred fifty-two".