6642742400 has 96 divisors (see below), whose sum is σ = 18753948480. Its totient is φ = 2277504000.

The previous prime is 6642742397. The next prime is 6642742411. The reversal of 6642742400 is 42472466.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125876 + ... + 170675.

It is an arithmetic number, because the mean of its divisors is an integer number (195353630).

Almost surely, 2^6642742400 is an apocalyptic number.

It is an amenable number.

6642742400 is an abundant number, since it is smaller than the sum of its proper divisors (12111206080).

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

6642742400 is a wasteful number, since it uses less digits than its factorization.

6642742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296582 (or 296565 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 35.

The square root of 6642742400 is about 81503.0208029126. The cubic root of 6642742400 is about 1879.8179995837.

The spelling of 6642742400 in words is "six billion, six hundred forty-two million, seven hundred forty-two thousand, four hundred".