4978912320 has 224 divisors, whose sum is σ = 17671328640. Its totient is φ = 1319639040.

The previous prime is 4978912283. The next prime is 4978912333. The reversal of 4978912320 is 232198794.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1493055 + ... + 1496385.

It is an arithmetic number, because the mean of its divisors is an integer number (78889860).

Almost surely, 2^4978912320 is an apocalyptic number.

4978912320 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 4978912320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8835664320).

4978912320 is an abundant number, since it is smaller than the sum of its proper divisors (12692416320).

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

4978912320 is a wasteful number, since it uses less digits than its factorization.

4978912320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3530 (or 3514 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 4978912320 is about 70561.4081492143. The cubic root of 4978912320 is about 1707.5685974326.

The spelling of 4978912320 in words is "four billion, nine hundred seventy-eight million, nine hundred twelve thousand, three hundred twenty".