35790648480 has 72 divisors (see below), whose sum is σ = 122135592852. Its totient is φ = 9544172544.

The previous prime is 35790648463. The next prime is 35790648529. The reversal of 35790648480 is 8484609753.

35790648480 is a `hidden beast` number, since 3 + 579 + 0 + 64 + 8 + 4 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34190968464 + 1599680016 = 184908^2 + 39996^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12425869 + ... + 12428748.

Almost surely, 2^35790648480 is an apocalyptic number.

35790648480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

35790648480 is an abundant number, since it is smaller than the sum of its proper divisors (86344944372).

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

35790648480 is a wasteful number, since it uses less digits than its factorization.

35790648480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24854638 (or 24854627 counting only the distinct ones).

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

The spelling of 35790648480 in words is "thirty-five billion, seven hundred ninety million, six hundred forty-eight thousand, four hundred eighty".