6442201656 has 72 divisors (see below), whose sum is σ = 19177998840. Its totient is φ = 1952179680.

The previous prime is 6442201631. The next prime is 6442201657. The reversal of 6442201656 is 6561022446.

6442201656 is a `hidden beast` number, since 6 + 442 + 201 + 6 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 6442201656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6442201657) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 361020 + ... + 378443.

It is an arithmetic number, because the mean of its divisors is an integer number (266361095).

Almost surely, 2^6442201656 is an apocalyptic number.

6442201656 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

6442201656 is an abundant number, since it is smaller than the sum of its proper divisors (12735797184).

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

6442201656 is a wasteful number, since it uses less digits than its factorization.

6442201656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739497 (or 739479 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 6442201656 is about 80263.3269681740. The cubic root of 6442201656 is about 1860.7074866697.

The spelling of 6442201656 in words is "six billion, four hundred forty-two million, two hundred one thousand, six hundred fifty-six".