4797031680 has 576 divisors, whose sum is σ = 19779379200. Its totient is φ = 1078272000.

The previous prime is 4797031649. The next prime is 4797031703. The reversal of 4797031680 is 861307974.

4797031680 is a `hidden beast` number, since 479 + 70 + 31 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19111555 + ... + 19111805.

It is an arithmetic number, because the mean of its divisors is an integer number (34339200).

Almost surely, 2^4797031680 is an apocalyptic number.

4797031680 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 4797031680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9889689600).

4797031680 is an abundant number, since it is smaller than the sum of its proper divisors (14982347520).

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

4797031680 is a wasteful number, since it uses less digits than its factorization.

4797031680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 4797031680 is about 69260.6069855008. The cubic root of 4797031680 is about 1686.5175397289.

The spelling of 4797031680 in words is "four billion, seven hundred ninety-seven million, thirty-one thousand, six hundred eighty".