35664725349792 has 1920 divisors, whose sum is σ = 141115250884608. Its totient is φ = 8553052569600.

The previous prime is 35664725349751. The next prime is 35664725349797. The reversal of 35664725349792 is 29794352746653.

It is a happy number.

35664725349792 is a `hidden beast` number, since 3 + 5 + 6 + 6 + 47 + 2 + 5 + 3 + 497 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 35664725349792.

It is not an unprimeable number, because it can be changed into a prime (35664725349797) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 77029644153 + ... + 77029644615.

Almost surely, 2^{35664725349792} is an apocalyptic number.

35664725349792 is a gapful number since it is divisible by the number (32) 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 35664725349792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70557625442304).

35664725349792 is an abundant number, since it is smaller than the sum of its proper divisors (105450525534816).

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

35664725349792 is a wasteful number, since it uses less digits than its factorization.

35664725349792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 887 counting only the distinct ones).

The product of its digits is 2057529600, while the sum is 72.

The spelling of 35664725349792 in words is "thirty-five trillion, six hundred sixty-four billion, seven hundred twenty-five million, three hundred forty-nine thousand, seven hundred ninety-two".