7645869760 has 252 divisors, whose sum is σ = 20084942304. Its totient is φ = 2770775040.

The previous prime is 7645869757. The next prime is 7645869811. The reversal of 7645869760 is 679685467.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 7645869695 and 7645869704.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 162678057 + ... + 162678103.

It is an arithmetic number, because the mean of its divisors is an integer number (79702152).

Almost surely, 2^7645869760 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 7645869760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10042471152).

7645869760 is an abundant number, since it is smaller than the sum of its proper divisors (12439072544).

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

7645869760 is a wasteful number, since it uses less digits than its factorization.

7645869760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 58.

The square root of 7645869760 is about 87440.6642243756. The cubic root of 7645869760 is about 1970.0426661549.

The spelling of 7645869760 in words is "seven billion, six hundred forty-five million, eight hundred sixty-nine thousand, seven hundred sixty".