4633901256960 has 1152 divisors, whose sum is σ = 18384932966400. Its totient is φ = 1098364354560.

The previous prime is 4633901256937. The next prime is 4633901257061. The reversal of 4633901256960 is 696521093364.

4633901256960 is a `hidden beast` number, since 4 + 6 + 3 + 3 + 9 + 0 + 12 + 569 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4633901256897 and 4633901256906.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6374004117 + ... + 6374004843.

It is an arithmetic number, because the mean of its divisors is an integer number (15959143200).

Almost surely, 2^{4633901256960} is an apocalyptic number.

4633901256960 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 4633901256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9192466483200).

4633901256960 is an abundant number, since it is smaller than the sum of its proper divisors (13751031709440).

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

4633901256960 is a wasteful number, since it uses less digits than its factorization.

4633901256960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 4633901256960 in words is "four trillion, six hundred thirty-three billion, nine hundred one million, two hundred fifty-six thousand, nine hundred sixty".