7645916250 has 240 divisors, whose sum is σ = 23977324800. Its totient is φ = 1724112000.

The previous prime is 7645916249. The next prime is 7645916261. The reversal of 7645916250 is 526195467.

7645916250 is a `hidden beast` number, since 7 + 6 + 4 + 591 + 6 + 2 + 50 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 7645916196 and 7645916205.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6220636 + ... + 6221864.

It is an arithmetic number, because the mean of its divisors is an integer number (99905520).

Almost surely, 2^7645916250 is an apocalyptic number.

7645916250 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 7645916250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11988662400).

7645916250 is an abundant number, since it is smaller than the sum of its proper divisors (16331408550).

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

7645916250 is a wasteful number, since it uses less digits than its factorization.

7645916250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 7645916250 is about 87440.9300613849. The cubic root of 7645916250 is about 1970.0466590339.

The spelling of 7645916250 in words is "seven billion, six hundred forty-five million, nine hundred sixteen thousand, two hundred fifty".