8375628800 has 396 divisors, whose sum is σ = 26389989504. Its totient is φ = 2606284800.

The previous prime is 8375628797. The next prime is 8375628803. The reversal of 8375628800 is 88265738.

It is an interprime number because it is at equal distance from previous prime (8375628797) and next prime (8375628803).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8375628803) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13798097 + ... + 13798703.

Almost surely, 2^8375628800 is an apocalyptic number.

8375628800 is a gapful number since it is divisible by the number (80) 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 8375628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13194994752).

8375628800 is an abundant number, since it is smaller than the sum of its proper divisors (18014360704).

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

8375628800 is a wasteful number, since it uses less digits than its factorization.

8375628800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 47.

The square root of 8375628800 is about 91518.4615255305. The cubic root of 8375628800 is about 2030.8248728603.

The spelling of 8375628800 in words is "eight billion, three hundred seventy-five million, six hundred twenty-eight thousand, eight hundred".