404733977064 has 384 divisors, whose sum is σ = 1171866009600. Its totient is φ = 126023040000.

The previous prime is 404733977047. The next prime is 404733977147. The reversal of 404733977064 is 460779337404.

404733977064 is a `hidden beast` number, since 40 + 473 + 3 + 9 + 7 + 70 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 404733977064.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2680357389 + ... + 2680357539.

It is an arithmetic number, because the mean of its divisors is an integer number (3051734400).

Almost surely, 2^404733977064 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 404733977064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585933004800).

404733977064 is an abundant number, since it is smaller than the sum of its proper divisors (767132032536).

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

404733977064 is a wasteful number, since it uses less digits than its factorization.

404733977064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 54.

The spelling of 404733977064 in words is "four hundred four billion, seven hundred thirty-three million, nine hundred seventy-seven thousand, sixty-four".