4462781664 has 96 divisors (see below), whose sum is σ = 12840992640. Its totient is φ = 1345881600.

The previous prime is 4462781641. The next prime is 4462781671. The reversal of 4462781664 is 4661872644.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212802 + ... + 232830.

It is an arithmetic number, because the mean of its divisors is an integer number (133760340).

Almost surely, 2^4462781664 is an apocalyptic number.

4462781664 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 4462781664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6420496320).

4462781664 is an abundant number, since it is smaller than the sum of its proper divisors (8378210976).

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

4462781664 is a wasteful number, since it uses less digits than its factorization.

4462781664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20264 (or 20256 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 48.

The square root of 4462781664 is about 66804.0542482266. The cubic root of 4462781664 is about 1646.3994538366.

The spelling of 4462781664 in words is "four billion, four hundred sixty-two million, seven hundred eighty-one thousand, six hundred sixty-four".