4793890932864 has 512 divisors, whose sum is σ = 15895275264000. Its totient is φ = 1409797509120.

The previous prime is 4793890932863. The next prime is 4793890932871. The reversal of 4793890932864 is 4682390983974.

4793890932864 is a `hidden beast` number, since 479 + 3 + 8 + 9 + 0 + 93 + 2 + 8 + 64 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4793890932792 and 4793890932801.

It is not an unprimeable number, because it can be changed into a prime (4793890932863) 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, 256636677 + ... + 256655355.

It is an arithmetic number, because the mean of its divisors is an integer number (31045459500).

Almost surely, 2^{4793890932864} is an apocalyptic number.

4793890932864 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 4793890932864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7947637632000).

4793890932864 is an abundant number, since it is smaller than the sum of its proper divisors (11101384331136).

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

4793890932864 is a wasteful number, since it uses less digits than its factorization.

4793890932864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18913 (or 18895 counting only the distinct ones).

The product of its (nonzero) digits is 564350976, while the sum is 72.

The spelling of 4793890932864 in words is "four trillion, seven hundred ninety-three billion, eight hundred ninety million, nine hundred thirty-two thousand, eight hundred sixty-four".