4977192960 has 208 divisors, whose sum is σ = 17696491680. Its totient is φ = 1327104000.

The previous prime is 4977192959. The next prime is 4977193019. The reversal of 4977192960 is 692917794.

4977192960 is a `hidden beast` number, since 497 + 7 + 1 + 92 + 9 + 60 = 666.

It is a super-2 number, since 2×4977192960² = 49544899522147123200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4977192897 and 4977192906.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 548460 + ... + 557460.

Almost surely, 2^4977192960 is an apocalyptic number.

4977192960 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 4977192960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8848245840).

4977192960 is an abundant number, since it is smaller than the sum of its proper divisors (12719298720).

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

4977192960 is an equidigital number, since it uses as much as digits as its factorization.

4977192960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9039 (or 9011 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The square root of 4977192960 is about 70549.2236668838. The cubic root of 4977192960 is about 1707.3720174721.

The spelling of 4977192960 in words is "four billion, nine hundred seventy-seven million, one hundred ninety-two thousand, nine hundred sixty".