7645433664 has 224 divisors, whose sum is σ = 23693786496. Its totient is φ = 2149908480.

The previous prime is 7645433641. The next prime is 7645433689. The reversal of 7645433664 is 4663345467.

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

It is a congruent number.

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, 2619534 + ... + 2622450.

Almost surely, 2^7645433664 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 7645433664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11846893248).

7645433664 is an abundant number, since it is smaller than the sum of its proper divisors (16048352832).

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

7645433664 is a wasteful number, since it uses less digits than its factorization.

7645433664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3033 (or 3023 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 48.

The square root of 7645433664 is about 87438.1705206599. The cubic root of 7645433664 is about 1970.0052104615.

The spelling of 7645433664 in words is "seven billion, six hundred forty-five million, four hundred thirty-three thousand, six hundred sixty-four".