4987616400 has 360 divisors, whose sum is σ = 19739439720. Its totient is φ = 1155317760.

The previous prime is 4987616393. The next prime is 4987616411. The reversal of 4987616400 is 46167894.

It can be written as a sum of positive squares in 12 ways, for example, as 1951165584 + 3036450816 = 44172^2 + 55104^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 71 ways as a sum of consecutive naturals, for example, 792466 + ... + 798734.

It is an arithmetic number, because the mean of its divisors is an integer number (54831777).

Almost surely, 2^4987616400 is an apocalyptic number.

4987616400 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 4987616400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9869719860).

4987616400 is an abundant number, since it is smaller than the sum of its proper divisors (14751823320).

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

4987616400 is a wasteful number, since it uses less digits than its factorization.

4987616400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6323 (or 6309 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 4987616400 is about 70623.0585573862. The cubic root of 4987616400 is about 1708.5630690576.

The spelling of 4987616400 in words is "four billion, nine hundred eighty-seven million, six hundred sixteen thousand, four hundred".