7645923720 has 160 divisors (see below), whose sum is σ = 25739386200. Its totient is φ = 2035694592.

The previous prime is 7645923679. The next prime is 7645923739. The reversal of 7645923720 is 273295467.

7645923720 is a `hidden beast` number, since 7 + 6 + 4 + 592 + 37 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7524174564 + 121749156 = 86742^2 + 11034^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2619702 + ... + 2622618.

Almost surely, 2^7645923720 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 7645923720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12869693100).

7645923720 is an abundant number, since it is smaller than the sum of its proper divisors (18093462480).

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

7645923720 is a wasteful number, since it uses less digits than its factorization.

7645923720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3749 (or 3736 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 7645923720 is about 87440.9727759247. The cubic root of 7645923720 is about 1970.0473006070.

The spelling of 7645923720 in words is "seven billion, six hundred forty-five million, nine hundred twenty-three thousand, seven hundred twenty".