7644672000 has 832 divisors, whose sum is σ = 32711577600. Its totient is φ = 1725235200.

The previous prime is 7644671981. The next prime is 7644672001. The reversal of 7644672000 is 2764467.

7644672000 is a `hidden beast` number, since 7 + 6 + 446 + 7 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7644672001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96767961 + ... + 96768039.

It is an arithmetic number, because the mean of its divisors is an integer number (39316800).

Almost surely, 2^7644672000 is an apocalyptic number.

7644672000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7644672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16355788800).

7644672000 is an abundant number, since it is smaller than the sum of its proper divisors (25066905600).

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

7644672000 is an equidigital number, since it uses as much as digits as its factorization.

7644672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 7644672000 is about 87433.8149688094. The cubic root of 7644672000 is about 1969.9397887581.

It can be divided in two parts, 764 and 4672000, that added together give a palindrome (4672764).

The spelling of 7644672000 in words is "seven billion, six hundred forty-four million, six hundred seventy-two thousand".