6428881440 has 96 divisors (see below), whose sum is σ = 22501100160. Its totient is φ = 1714367232.

The previous prime is 6428881429. The next prime is 6428881441. The reversal of 6428881440 is 441888246.

6428881440 is a `hidden beast` number, since 6 + 428 + 88 + 144 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6428881441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 739764 + ... + 748403.

It is an arithmetic number, because the mean of its divisors is an integer number (234386460).

Almost surely, 2^6428881440 is an apocalyptic number.

6428881440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6428881440 is an abundant number, since it is smaller than the sum of its proper divisors (16072218720).

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

6428881440 is a wasteful number, since it uses less digits than its factorization.

6428881440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1488191 (or 1488177 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The square root of 6428881440 is about 80180.3058113400. The cubic root of 6428881440 is about 1859.4241713861.

The spelling of 6428881440 in words is "six billion, four hundred twenty-eight million, eight hundred eighty-one thousand, four hundred forty".