4793378292864 has 768 divisors, whose sum is σ = 17296112321280. Its totient is φ = 1242891288576.

The previous prime is 4793378292823. The next prime is 4793378292943. The reversal of 4793378292864 is 4682928733974.

4793378292864 is a `hidden beast` number, since 4 + 7 + 9 + 337 + 8 + 2 + 9 + 286 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4793378292792 and 4793378292801.

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, 573160747 + ... + 573169109.

It is an arithmetic number, because the mean of its divisors is an integer number (22520979585).

Almost surely, 2^{4793378292864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4793378292864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8648056160640).

4793378292864 is an abundant number, since it is smaller than the sum of its proper divisors (12502734028416).

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

4793378292864 is a wasteful number, since it uses less digits than its factorization.

4793378292864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8557 (or 8542 counting only the distinct ones).

The product of its digits is 877879296, while the sum is 72.

The spelling of 4793378292864 in words is "four trillion, seven hundred ninety-three billion, three hundred seventy-eight million, two hundred ninety-two thousand, eight hundred sixty-four".