4978881600 has 672 divisors, whose sum is σ = 21467673600. Its totient is φ = 978739200.

The previous prime is 4978881571. The next prime is 4978881623. The reversal of 4978881600 is 61888794.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

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, 7022046 + ... + 7022754.

Almost surely, 2^4978881600 is an apocalyptic number.

4978881600 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 4978881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10733836800).

4978881600 is an abundant number, since it is smaller than the sum of its proper divisors (16488792000).

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

4978881600 is a wasteful number, since it uses less digits than its factorization.

4978881600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 51.

The square root of 4978881600 is about 70561.1904661479. The cubic root of 4978881600 is about 1707.5650855133.

The spelling of 4978881600 in words is "four billion, nine hundred seventy-eight million, eight hundred eighty-one thousand, six hundred".