6440264100 has 144 divisors (see below), whose sum is σ = 21044208640. Its totient is φ = 1689206400.

The previous prime is 6440264057. The next prime is 6440264177. The reversal of 6440264100 is 14620446.

6440264100 is a `hidden beast` number, since 644 + 0 + 2 + 6 + 4 + 10 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145149 + ... + 184251.

Almost surely, 2^6440264100 is an apocalyptic number.

6440264100 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 6440264100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10522104320).

6440264100 is an abundant number, since it is smaller than the sum of its proper divisors (14603944540).

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

6440264100 is a wasteful number, since it uses less digits than its factorization.

6440264100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39187 (or 39174 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 6440264100 is about 80251.2560649365. The cubic root of 6440264100 is about 1860.5209258921.

Adding to 6440264100 its reverse (14620446), we get a palindrome (6454884546).

The spelling of 6440264100 in words is "six billion, four hundred forty million, two hundred sixty-four thousand, one hundred".