4263055313664 has 576 divisors, whose sum is σ = 13732389715968. Its totient is φ = 1148287795200.

The previous prime is 4263055313651. The next prime is 4263055313729. The reversal of 4263055313664 is 4663135503624.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4679533369 + ... + 4679534279.

It is an arithmetic number, because the mean of its divisors is an integer number (23840954368).

Almost surely, 2^{4263055313664} 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 4263055313664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6866194857984).

4263055313664 is an abundant number, since it is smaller than the sum of its proper divisors (9469334402304).

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

4263055313664 is a wasteful number, since it uses less digits than its factorization.

4263055313664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 48.

The spelling of 4263055313664 in words is "four trillion, two hundred sixty-three billion, fifty-five million, three hundred thirteen thousand, six hundred sixty-four".