6242264064 has 99 divisors (see below), whose sum is σ = 18046329483. Its totient is φ = 2078226432.

The previous prime is 6242264057. The next prime is 6242264069. The reversal of 6242264064 is 4604622426.

The square root of 6242264064 is 79008.

It is a perfect power (a square), and thus also a powerful number.

6242264064 is a `hidden beast` number, since 6 + 2 + 4 + 2 + 2 + 640 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6242264069) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7584357 + ... + 7585179.

Almost surely, 2^6242264064 is an apocalyptic number.

6242264064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6242264064 is the 79008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6242264064

6242264064 is an abundant number, since it is smaller than the sum of its proper divisors (11804065419).

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

6242264064 is an frugal number, since it uses more digits than its factorization.

6242264064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The cubic root of 6242264064 is about 1841.2554506968.

Multiplying 6242264064 by its sum of digits (36), we get a square (224721506304 = 474048²).

6242264064 divided by its sum of digits (36) gives a square (173396224 = 13168²).

The spelling of 6242264064 in words is "six billion, two hundred forty-two million, two hundred sixty-four thousand, sixty-four".