6406979040 has 1152 divisors, whose sum is σ = 30116136960. Its totient is φ = 1240842240.

The previous prime is 6406979039. The next prime is 6406979069. The reversal of 6406979040 is 409796046.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 62203629 + ... + 62203731.

It is an arithmetic number, because the mean of its divisors is an integer number (26142480).

Almost surely, 2^6406979040 is an apocalyptic number.

6406979040 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 6406979040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15058068480).

6406979040 is an abundant number, since it is smaller than the sum of its proper divisors (23709157920).

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

6406979040 is a wasteful number, since it uses less digits than its factorization.

6406979040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 6406979040 is about 80043.6071151219. The cubic root of 6406979040 is about 1857.3101598279.

The spelling of 6406979040 in words is "six billion, four hundred six million, nine hundred seventy-nine thousand, forty".