4976277840 has 240 divisors, whose sum is σ = 17724907200. Its totient is φ = 1247643648.

The previous prime is 4976277829. The next prime is 4976277847. The reversal of 4976277840 is 487726794.

4976277840 is a `hidden beast` number, since 4 + 9 + 7 + 627 + 7 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×4976277840² = 49526682281750131200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4976277847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1900212 + ... + 1902828.

It is an arithmetic number, because the mean of its divisors is an integer number (73853780).

Almost surely, 2^4976277840 is an apocalyptic number.

4976277840 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 4976277840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8862453600).

4976277840 is an abundant number, since it is smaller than the sum of its proper divisors (12748629360).

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

4976277840 is a wasteful number, since it uses less digits than its factorization.

4976277840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2794 (or 2785 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The square root of 4976277840 is about 70542.7376843286. The cubic root of 4976277840 is about 1707.2673703975.

The spelling of 4976277840 in words is "four billion, nine hundred seventy-six million, two hundred seventy-seven thousand, eight hundred forty".