4992509952 has 384 divisors, whose sum is σ = 16133644800. Its totient is φ = 1519386624.

The previous prime is 4992509933. The next prime is 4992509959. The reversal of 4992509952 is 2599052994.

4992509952 is a `hidden beast` number, since 49 + 9 + 2 + 509 + 95 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 (4992509959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44181448 + ... + 44181560.

It is an arithmetic number, because the mean of its divisors is an integer number (42014700).

Almost surely, 2^4992509952 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 4992509952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8066822400).

4992509952 is an abundant number, since it is smaller than the sum of its proper divisors (11141134848).

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

4992509952 is a wasteful number, since it uses less digits than its factorization.

4992509952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The square root of 4992509952 is about 70657.6956318277. The cubic root of 4992509952 is about 1709.1216665000.

The spelling of 4992509952 in words is "four billion, nine hundred ninety-two million, five hundred nine thousand, nine hundred fifty-two".