4977693360 has 120 divisors (see below), whose sum is σ = 16879303584. Its totient is φ = 1314478080.

The previous prime is 4977693317. The next prime is 4977693443. The reversal of 4977693360 is 633967794.

4977693360 is a `hidden beast` number, since 497 + 7 + 6 + 93 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 4977693297 and 4977693306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40600 + ... + 107720.

Almost surely, 2^4977693360 is an apocalyptic number.

4977693360 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 4977693360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8439651792).

4977693360 is an abundant number, since it is smaller than the sum of its proper divisors (11901610224).

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

4977693360 is a wasteful number, since it uses less digits than its factorization.

4977693360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67243 (or 67234 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 54.

The square root of 4977693360 is about 70552.7700377526. The cubic root of 4977693360 is about 1707.4292344841.

The spelling of 4977693360 in words is "four billion, nine hundred seventy-seven million, six hundred ninety-three thousand, three hundred sixty".