4764199680 has 648 divisors, whose sum is σ = 18501445872. Its totient is φ = 1173159936.

The previous prime is 4764199639. The next prime is 4764199681. The reversal of 4764199680 is 869914674.

4764199680 is a `hidden beast` number, since 476 + 4 + 1 + 9 + 96 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

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

It is not an unprimeable number, because it can be changed into a prime (4764199681) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 89890534 + ... + 89890586.

It is an arithmetic number, because the mean of its divisors is an integer number (28551614).

Almost surely, 2^4764199680 is an apocalyptic number.

4764199680 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 4764199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9250722936).

4764199680 is an abundant number, since it is smaller than the sum of its proper divisors (13737246192).

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

4764199680 is an equidigital number, since it uses as much as digits as its factorization.

4764199680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 4764199680 is about 69023.1821926518. The cubic root of 4764199680 is about 1682.6610887817.

The spelling of 4764199680 in words is "four billion, seven hundred sixty-four million, one hundred ninety-nine thousand, six hundred eighty".