6424967040 has 128 divisors (see below), whose sum is σ = 21557577600. Its totient is φ = 1623140352.

The previous prime is 6424966997. The next prime is 6424967089. The reversal of 6424967040 is 407694246.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 6424966983 and 6424967001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51582 + ... + 124541.

It is an arithmetic number, because the mean of its divisors is an integer number (168418575).

Almost surely, 2^6424967040 is an apocalyptic number.

6424967040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6424967040 is an abundant number, since it is smaller than the sum of its proper divisors (15132610560).

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

6424967040 is a wasteful number, since it uses less digits than its factorization.

6424967040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176164 (or 176152 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 6424967040 is about 80155.8921103121. The cubic root of 6424967040 is about 1859.0467077071.

The spelling of 6424967040 in words is "six billion, four hundred twenty-four million, nine hundred sixty-seven thousand, forty".