36968057651616 has 288 divisors, whose sum is σ = 120220012902528. Its totient is φ = 9739384012800.

The previous prime is 36968057651527. The next prime is 36968057651627. The reversal of 36968057651616 is 61615675086963.

It is a super-2 number, since 2×36968057651616² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106239516 + ... + 106586916.

It is an arithmetic number, because the mean of its divisors is an integer number (417430600356).

Almost surely, 2^{36968057651616} 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 36968057651616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60110006451264).

36968057651616 is an abundant number, since it is smaller than the sum of its proper divisors (83251955250912).

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

36968057651616 is a wasteful number, since it uses less digits than its factorization.

36968057651616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348384 (or 348363 counting only the distinct ones).

The product of its (nonzero) digits is 293932800, while the sum is 69.

The spelling of 36968057651616 in words is "thirty-six trillion, nine hundred sixty-eight billion, fifty-seven million, six hundred fifty-one thousand, six hundred sixteen".