35644639680 has 672 divisors, whose sum is σ = 140772026304. Its totient is φ = 8527970304.

The previous prime is 35644639669. The next prime is 35644639729. The reversal of 35644639680 is 8693644653.

35644639680 is a `hidden beast` number, since 3 + 564 + 46 + 39 + 6 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37402084 + ... + 37403036.

It is an arithmetic number, because the mean of its divisors is an integer number (209482182).

Almost surely, 2^35644639680 is an apocalyptic number.

35644639680 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 35644639680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70386013152).

35644639680 is an abundant number, since it is smaller than the sum of its proper divisors (105127386624).

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

35644639680 is a wasteful number, since it uses less digits than its factorization.

35644639680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 35644639680 in words is "thirty-five billion, six hundred forty-four million, six hundred thirty-nine thousand, six hundred eighty".