61691535360 has 896 divisors, whose sum is σ = 270390274560. Its totient is φ = 12995002368.

The previous prime is 61691535359. The next prime is 61691535397. The reversal of 61691535360 is 6353519616.

61691535360 is a `hidden beast` number, since 6 + 1 + 69 + 1 + 53 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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 63 ways as a sum of consecutive naturals, for example, 100638414 + ... + 100639026.

It is an arithmetic number, because the mean of its divisors is an integer number (301774860).

Almost surely, 2^61691535360 is an apocalyptic number.

61691535360 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 61691535360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135195137280).

61691535360 is an abundant number, since it is smaller than the sum of its proper divisors (208698739200).

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

61691535360 is a wasteful number, since it uses less digits than its factorization.

61691535360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The spelling of 61691535360 in words is "sixty-one billion, six hundred ninety-one million, five hundred thirty-five thousand, three hundred sixty".