7628375664 has 480 divisors, whose sum is σ = 28893984000. Its totient is φ = 1904684544.

The previous prime is 7628375647. The next prime is 7628375669. The reversal of 7628375664 is 4665738267.

7628375664 is a `hidden beast` number, since 7 + 628 + 3 + 7 + 5 + 6 + 6 + 4 = 666.

It is a super-2 number, since 2×7628375664² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 7628375664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7628375669) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5227767 + ... + 5229225.

It is an arithmetic number, because the mean of its divisors is an integer number (60195800).

Almost surely, 2^7628375664 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 7628375664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14446992000).

7628375664 is an abundant number, since it is smaller than the sum of its proper divisors (21265608336).

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

7628375664 is a wasteful number, since it uses less digits than its factorization.

7628375664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1522 (or 1503 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The square root of 7628375664 is about 87340.5728398893. The cubic root of 7628375664 is about 1968.5390031654.

The spelling of 7628375664 in words is "seven billion, six hundred twenty-eight million, three hundred seventy-five thousand, six hundred sixty-four".