4876897680 has 320 divisors, whose sum is σ = 17481738240. Its totient is φ = 1248307200.

The previous prime is 4876897633. The next prime is 4876897687. The reversal of 4876897680 is 867986784.

4876897680 is a `hidden beast` number, since 487 + 6 + 8 + 9 + 76 + 80 = 666.

It is not an unprimeable number, because it can be changed into a prime (4876897687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11583870 + ... + 11584290.

It is an arithmetic number, because the mean of its divisors is an integer number (54630432).

Almost surely, 2^4876897680 is an apocalyptic number.

4876897680 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 4876897680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8740869120).

4876897680 is an abundant number, since it is smaller than the sum of its proper divisors (12604840560).

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

4876897680 is a wasteful number, since it uses less digits than its factorization.

4876897680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The square root of 4876897680 is about 69834.7884653487. The cubic root of 4876897680 is about 1695.8257078071.

The spelling of 4876897680 in words is "four billion, eight hundred seventy-six million, eight hundred ninety-seven thousand, six hundred eighty".