35680187664 has 405 divisors, whose sum is σ = 116164630309. Its totient is φ = 10608174720.

The previous prime is 35680187659. The next prime is 35680187677. The reversal of 35680187664 is 46678108653.

The square root of 35680187664 is 188892.

It is a perfect power (a square), and thus also a powerful number.

35680187664 is a `hidden beast` number, since 3 + 568 + 0 + 1 + 8 + 76 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 25721744400 + 9958443264 = 160380^2 + 99792^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 35680187664.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 673211062 + ... + 673211114.

Almost surely, 2^35680187664 is an apocalyptic number.

35680187664 is the 188892-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35680187664

35680187664 is an abundant number, since it is smaller than the sum of its proper divisors (80484442645).

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

35680187664 is an frugal number, since it uses more digits than its factorization.

35680187664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 35680187664 in words is "thirty-five billion, six hundred eighty million, one hundred eighty-seven thousand, six hundred sixty-four".