6430973040 has 60 divisors (see below), whose sum is σ = 21597353544. Its totient is φ = 1714925952.

The previous prime is 6430973009. The next prime is 6430973053. The reversal of 6430973040 is 403790346.

6430973040 is a `hidden beast` number, since 643 + 0 + 9 + 7 + 3 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a junction number, because it is equal to n+sod(n) for n = 6430972986 and 6430973004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4465234 + ... + 4466673.

Almost surely, 2^6430973040 is an apocalyptic number.

6430973040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6430973040 is an abundant number, since it is smaller than the sum of its proper divisors (15166380504).

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

6430973040 is a wasteful number, since it uses less digits than its factorization.

6430973040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8931926 (or 8931917 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 6430973040 is about 80193.3478537965. The cubic root of 6430973040 is about 1859.6258005465.

The spelling of 6430973040 in words is "six billion, four hundred thirty million, nine hundred seventy-three thousand, forty".