7630916208000 has 512 divisors, whose sum is σ = 26827406686080. Its totient is φ = 1912143872000.

The previous prime is 7630916207939. The next prime is 7630916208031. The reversal of 7630916208000 is 8026190367.

It is a happy number.

It is a super-3 number, since 3×7630916208000³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 532840840 + ... + 532855160.

Almost surely, 2^{7630916208000} 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 7630916208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13413703343040).

7630916208000 is an abundant number, since it is smaller than the sum of its proper divisors (19196490478080).

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

7630916208000 is a wasteful number, since it uses less digits than its factorization.

7630916208000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15023 (or 15001 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 7630916208000 in words is "seven trillion, six hundred thirty billion, nine hundred sixteen million, two hundred eight thousand".