4987664640 has 576 divisors, whose sum is σ = 20662387200. Its totient is φ = 1115652096.

The previous prime is 4987664551. The next prime is 4987664641. The reversal of 4987664640 is 464667894.

4987664640 is a `hidden beast` number, since 49 + 87 + 66 + 464 + 0 = 666.

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

It is a super-2 number, since 2×4987664640² = 49753597122212659200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4987664641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12821566 + ... + 12821954.

It is an arithmetic number, because the mean of its divisors is an integer number (35872200).

Almost surely, 2^4987664640 is an apocalyptic number.

4987664640 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 4987664640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10331193600).

4987664640 is an abundant number, since it is smaller than the sum of its proper divisors (15674722560).

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

4987664640 is a wasteful number, since it uses less digits than its factorization.

4987664640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The square root of 4987664640 is about 70623.4000880728. The cubic root of 4987664640 is about 1708.5685774214.

The spelling of 4987664640 in words is "four billion, nine hundred eighty-seven million, six hundred sixty-four thousand, six hundred forty".