4797491100864 has 672 divisors, whose sum is σ = 16528381309440. Its totient is φ = 1200716267520.

The previous prime is 4797491100859. The next prime is 4797491100881. The reversal of 4797491100864 is 4680011947974.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 4797491100798 and 4797491100807.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4041693679 + ... + 4041694865.

It is an arithmetic number, because the mean of its divisors is an integer number (24595805520).

Almost surely, 2^{4797491100864} is an apocalyptic number.

4797491100864 is a gapful number since it is divisible by the number (44) 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 4797491100864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8264190654720).

4797491100864 is an abundant number, since it is smaller than the sum of its proper divisors (11730890208576).

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

4797491100864 is a wasteful number, since it uses less digits than its factorization.

4797491100864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117 (or 2096 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 60.

The spelling of 4797491100864 in words is "four trillion, seven hundred ninety-seven billion, four hundred ninety-one million, one hundred thousand, eight hundred sixty-four".