4792155984 has 720 divisors, whose sum is σ = 18827128320. Its totient is φ = 1101703680.

The previous prime is 4792155983. The next prime is 4792156001. The reversal of 4792155984 is 4895512974.

It is a happy number.

4792155984 is a `hidden beast` number, since 4 + 7 + 9 + 2 + 1 + 559 + 84 = 666.

Its product of digits (3628800) is a multiple of the sum of its prime divisors (108).

It is a self number, because there is not a number n which added to its sum of digits gives 4792155984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4792155983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 111445467 + ... + 111445509.

Almost surely, 2^4792155984 is an apocalyptic number.

4792155984 is a gapful number since it is divisible by the number (44) 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 4792155984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9413564160).

4792155984 is an abundant number, since it is smaller than the sum of its proper divisors (14034972336).

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

4792155984 is a wasteful number, since it uses less digits than its factorization.

4792155984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 108 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The square root of 4792155984 is about 69225.3998471659. The cubic root of 4792155984 is about 1685.9459547102.

The spelling of 4792155984 in words is "four billion, seven hundred ninety-two million, one hundred fifty-five thousand, nine hundred eighty-four".