35661334320 has 160 divisors (see below), whose sum is σ = 122895556800. Its totient is φ = 9504884736.

The previous prime is 35661334309. The next prime is 35661334343. The reversal of 35661334320 is 2343316653.

35661334320 is a `hidden beast` number, since 3 + 5 + 6 + 613 + 3 + 4 + 32 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6972084 + ... + 6977196.

It is an arithmetic number, because the mean of its divisors is an integer number (768097230).

Almost surely, 2^35661334320 is an apocalyptic number.

35661334320 is a gapful number since it is divisible by the number (30) 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 35661334320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61447778400).

35661334320 is an abundant number, since it is smaller than the sum of its proper divisors (87234222480).

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

35661334320 is a wasteful number, since it uses less digits than its factorization.

35661334320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8364 (or 8352 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

The spelling of 35661334320 in words is "thirty-five billion, six hundred sixty-one million, three hundred thirty-four thousand, three hundred twenty".