784426313664 has 448 divisors, whose sum is σ = 2779281817600. Its totient is φ = 211938425856.

The previous prime is 784426313597. The next prime is 784426313681. The reversal of 784426313664 is 466313624487.

784426313664 is a `hidden beast` number, since 7 + 8 + 442 + 6 + 3 + 136 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×784426313664² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 784426313664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 139500357 + ... + 139505979.

Almost surely, 2^784426313664 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 784426313664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389640908800).

784426313664 is an abundant number, since it is smaller than the sum of its proper divisors (1994855503936).

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

784426313664 is a wasteful number, since it uses less digits than its factorization.

784426313664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6277 (or 6261 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 54.

The spelling of 784426313664 in words is "seven hundred eighty-four billion, four hundred twenty-six million, three hundred thirteen thousand, six hundred sixty-four".