4688072632320 has 1152 divisors, whose sum is σ = 19230408288000. Its totient is φ = 973880033280.

The previous prime is 4688072632303. The next prime is 4688072632339. The reversal of 4688072632320 is 232362708864.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1274970322 + ... + 1274973998.

It is an arithmetic number, because the mean of its divisors is an integer number (16693062750).

Almost surely, 2^{4688072632320} is an apocalyptic number.

4688072632320 is a gapful number since it is divisible by the number (40) 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 4688072632320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9615204144000).

4688072632320 is an abundant number, since it is smaller than the sum of its proper divisors (14542335655680).

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

4688072632320 is a wasteful number, since it uses less digits than its factorization.

4688072632320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3750 (or 3705 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 51.

The spelling of 4688072632320 in words is "four trillion, six hundred eighty-eight billion, seventy-two million, six hundred thirty-two thousand, three hundred twenty".