906465578480 has 240 divisors, whose sum is σ = 2695569186816. Its totient is φ = 280308349440.

The previous prime is 906465578357. The next prime is 906465578497. The reversal of 906465578480 is 84875564609.

906465578480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×906465578480² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 5393477 + ... + 5559003.

Almost surely, 2^906465578480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 906465578480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347784593408).

906465578480 is an abundant number, since it is smaller than the sum of its proper divisors (1789103608336).

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

906465578480 is a wasteful number, since it uses less digits than its factorization.

906465578480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165692 (or 165679 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 62.

The spelling of 906465578480 in words is "nine hundred six billion, four hundred sixty-five million, five hundred seventy-eight thousand, four hundred eighty".