4968639900 has 288 divisors, whose sum is σ = 18386600960. Its totient is φ = 1127520000.

The previous prime is 4968639887. The next prime is 4968639913. The reversal of 4968639900 is 99368694.

It is a happy number.

4968639900 is a `hidden beast` number, since 496 + 8 + 63 + 9 + 90 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4968639887) and next prime (4968639913).

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

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, 2853030 + ... + 2854770.

Almost surely, 2^4968639900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4968639900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9193300480).

4968639900 is an abundant number, since it is smaller than the sum of its proper divisors (13417961060).

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

4968639900 is a wasteful number, since it uses less digits than its factorization.

4968639900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1922 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The square root of 4968639900 is about 70488.5799261129. The cubic root of 4968639900 is about 1706.3934452521.

The spelling of 4968639900 in words is "four billion, nine hundred sixty-eight million, six hundred thirty-nine thousand, nine hundred".