7500672000 has 528 divisors, whose sum is σ = 28693896192. Its totient is φ = 1877606400.

The previous prime is 7500671987. The next prime is 7500672013. The reversal of 7500672000 is 2760057.

It is an interprime number because it is at equal distance from previous prime (7500671987) and next prime (7500672013).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19583809 + ... + 19584191.

Almost surely, 2^7500672000 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 7500672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14346948096).

7500672000 is an abundant number, since it is smaller than the sum of its proper divisors (21193224192).

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

7500672000 is a wasteful number, since it uses less digits than its factorization.

7500672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 7500672000 is about 86606.4200853493. The cubic root of 7500672000 is about 1957.4922808619.

The spelling of 7500672000 in words is "seven billion, five hundred million, six hundred seventy-two thousand".