7645268160 has 448 divisors, whose sum is σ = 28055255040. Its totient is φ = 1958584320.

The previous prime is 7645268159. The next prime is 7645268171. The reversal of 7645268160 is 618625467.

7645268160 is a `hidden beast` number, since 7 + 64 + 526 + 8 + 1 + 60 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27207220 + ... + 27207500.

Almost surely, 2^7645268160 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 7645268160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14027627520).

7645268160 is an abundant number, since it is smaller than the sum of its proper divisors (20409986880).

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

7645268160 is a wasteful number, since it uses less digits than its factorization.

7645268160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 7645268160 is about 87437.2241096434. The cubic root of 7645268160 is about 1969.9909951747.

The spelling of 7645268160 in words is "seven billion, six hundred forty-five million, two hundred sixty-eight thousand, one hundred sixty".