35620605664 has 144 divisors (see below), whose sum is σ = 84625793280. Its totient is φ = 14703897600.

The previous prime is 35620605659. The next prime is 35620605667. The reversal of 35620605664 is 46650602653.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 35620605664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35620605667) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5856577 + ... + 5862655.

It is an arithmetic number, because the mean of its divisors is an integer number (587679120).

Almost surely, 2^35620605664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35620605664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42312896640).

35620605664 is an abundant number, since it is smaller than the sum of its proper divisors (49005187616).

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

35620605664 is a wasteful number, since it uses less digits than its factorization.

35620605664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6241 (or 6226 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 43.

The spelling of 35620605664 in words is "thirty-five billion, six hundred twenty million, six hundred five thousand, six hundred sixty-four".