6642240000 has 800 divisors, whose sum is σ = 26231553216. Its totient is φ = 1474560000.

The previous prime is 6642239993. The next prime is 6642240013. The reversal of 6642240000 is 422466.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 179519982 + ... + 179520018.

Almost surely, 2^6642240000 is an apocalyptic number.

6642240000 is a gapful number since it is divisible by the number (60) 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 6642240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13115776608).

6642240000 is an abundant number, since it is smaller than the sum of its proper divisors (19589313216).

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

6642240000 is a wasteful number, since it uses less digits than its factorization.

6642240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 6642240000 is about 81499.9386502837. The cubic root of 6642240000 is about 1879.7706072912.

Adding to 6642240000 its reverse (422466), we get a palindrome (6642662466).

It can be divided in two parts, 6642 and 240000, that added together give a palindrome (246642).

The spelling of 6642240000 in words is "six billion, six hundred forty-two million, two hundred forty thousand".