4993672320 has 576 divisors, whose sum is σ = 21617963640. Its totient is φ = 1052835840.

The previous prime is 4993672319. The next prime is 4993672337. The reversal of 4993672320 is 232763994.

It can be written as a sum of positive squares in 4 ways, for example, as 2228595264 + 2765077056 = 47208^2 + 52584^2 .

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3668440 + ... + 3669800.

Almost surely, 2^4993672320 is an apocalyptic number.

4993672320 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 4993672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10808981820).

4993672320 is an abundant number, since it is smaller than the sum of its proper divisors (16624291320).

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

4993672320 is a wasteful number, since it uses less digits than its factorization.

4993672320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 4993672320 is about 70665.9204992053. The cubic root of 4993672320 is about 1709.2542967932.

The spelling of 4993672320 in words is "four billion, nine hundred ninety-three million, six hundred seventy-two thousand, three hundred twenty".