4992956100 has 864 divisors, whose sum is σ = 19948723200. Its totient is φ = 1064448000.

The previous prime is 4992956099. The next prime is 4992956141. The reversal of 4992956100 is 16592994.

4992956100 is a `hidden beast` number, since 4 + 9 + 9 + 29 + 5 + 610 + 0 = 666.

It is a super-2 number, since 2×4992956100² = 49859221233054420000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 161063085 + ... + 161063115.

It is an arithmetic number, because the mean of its divisors is an integer number (23088800).

Almost surely, 2^4992956100 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 4992956100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9974361600).

4992956100 is an abundant number, since it is smaller than the sum of its proper divisors (14955767100).

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

4992956100 is a wasteful number, since it uses less digits than its factorization.

4992956100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 4992956100 is about 70660.8526696360. The cubic root of 4992956100 is about 1709.1725759963.

The spelling of 4992956100 in words is "four billion, nine hundred ninety-two million, nine hundred fifty-six thousand, one hundred".