359786004480 has 1080 divisors, whose sum is σ = 1517424566112. Its totient is φ = 78479622144.

The previous prime is 359786004449. The next prime is 359786004533. The reversal of 359786004480 is 84400687953.

359786004480 is a `hidden beast` number, since 3 + 597 + 8 + 6 + 0 + 0 + 4 + 48 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 830914344 + ... + 830914776.

Almost surely, 2^359786004480 is an apocalyptic number.

359786004480 is a gapful number since it is divisible by the number (30) 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 359786004480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758712283056).

359786004480 is an abundant number, since it is smaller than the sum of its proper divisors (1157638561632).

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

359786004480 is a wasteful number, since it uses less digits than its factorization.

359786004480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 359786004480 in words is "three hundred fifty-nine billion, seven hundred eighty-six million, four thousand, four hundred eighty".