4634799250560 has 256 divisors, whose sum is σ = 15196607838720. Its totient is φ = 1200793190400.

The previous prime is 4634799250547. The next prime is 4634799250573. The reversal of 4634799250560 is 650529974364.

It is an interprime number because it is at equal distance from previous prime (4634799250547) and next prime (4634799250573).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 4634799250494 and 4634799250503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18849369 + ... + 19093671.

It is an arithmetic number, because the mean of its divisors is an integer number (59361749370).

Almost surely, 2^{4634799250560} is an apocalyptic number.

4634799250560 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 4634799250560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7598303919360).

4634799250560 is an abundant number, since it is smaller than the sum of its proper divisors (10561808588160).

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

4634799250560 is a wasteful number, since it uses less digits than its factorization.

4634799250560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244607 (or 244595 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 60.

The spelling of 4634799250560 in words is "four trillion, six hundred thirty-four billion, seven hundred ninety-nine million, two hundred fifty thousand, five hundred sixty".