61652502816768 has 1152 divisors, whose sum is σ = 192016336730400. Its totient is φ = 19025362944000.

The previous prime is 61652502816701. The next prime is 61652502816787. The reversal of 61652502816768 is 86761820525616.

61652502816768 is a `hidden beast` number, since 6 + 1 + 6 + 5 + 2 + 502 + 8 + 1 + 67 + 68 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 3342051984384 + 58310450832384 = 1828128^2 + 7636128^2 .

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×61652502816768² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 319443019680 + ... + 319443019872.

Almost surely, 2^{61652502816768} 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 61652502816768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96008168365200).

61652502816768 is an abundant number, since it is smaller than the sum of its proper divisors (130363833913632).

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

61652502816768 is a wasteful number, since it uses less digits than its factorization.

61652502816768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 61652502816768 in words is "sixty-one trillion, six hundred fifty-two billion, five hundred two million, eight hundred sixteen thousand, seven hundred sixty-eight".