34553615664 has 80 divisors (see below), whose sum is σ = 91344867840. Its totient is φ = 11250289920.

The previous prime is 34553615639. The next prime is 34553615671. The reversal of 34553615664 is 46651635543.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1133259 + ... + 1163349.

It is an arithmetic number, because the mean of its divisors is an integer number (1141810848).

Almost surely, 2^34553615664 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 34553615664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45672433920).

34553615664 is an abundant number, since it is smaller than the sum of its proper divisors (56791252176).

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

34553615664 is a wasteful number, since it uses less digits than its factorization.

34553615664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30658 (or 30652 counting only the distinct ones).

The product of its digits is 3888000, while the sum is 48.

The spelling of 34553615664 in words is "thirty-four billion, five hundred fifty-three million, six hundred fifteen thousand, six hundred sixty-four".