7628329800 has 432 divisors, whose sum is σ = 32098297140. Its totient is φ = 1609251840.

The previous prime is 7628329789. The next prime is 7628329801. The reversal of 7628329800 is 89238267.

It can be written as a sum of positive squares in 6 ways, for example, as 135349956 + 7492979844 = 11634^2 + 86562^2 .

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

It is not an unprimeable number, because it can be changed into a prime (7628329801) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1143274 + ... + 1149926.

Almost surely, 2^7628329800 is an apocalyptic number.

7628329800 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 7628329800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16049148570).

7628329800 is an abundant number, since it is smaller than the sum of its proper divisors (24469967340).

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

7628329800 is a wasteful number, since it uses less digits than its factorization.

7628329800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6702 (or 6683 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 7628329800 is about 87340.3102811067. The cubic root of 7628329800 is about 1968.5350580156.

The spelling of 7628329800 in words is "seven billion, six hundred twenty-eight million, three hundred twenty-nine thousand, eight hundred".