4977670320 has 560 divisors, whose sum is σ = 20199689280. Its totient is φ = 1116758016.

The previous prime is 4977670309. The next prime is 4977670339. The reversal of 4977670320 is 230767794.

It is a happy number.

4977670320 is a `hidden beast` number, since 497 + 76 + 70 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

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 111 ways as a sum of consecutive naturals, for example, 36333292 + ... + 36333428.

Almost surely, 2^4977670320 is an apocalyptic number.

4977670320 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 4977670320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10099844640).

4977670320 is an abundant number, since it is smaller than the sum of its proper divisors (15222018960).

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

4977670320 is a wasteful number, since it uses less digits than its factorization.

4977670320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The square root of 4977670320 is about 70552.6067555268. The cubic root of 4977670320 is about 1707.4266001159.

The spelling of 4977670320 in words is "four billion, nine hundred seventy-seven million, six hundred seventy thousand, three hundred twenty".