782416495419264 has 256 divisors, whose sum is σ = 2333202345600000. Its totient is φ = 258096795697152.

The previous prime is 782416495419253. The next prime is 782416495419313. The reversal of 782416495419264 is 462914594614287.

It is a happy number.

782416495419264 is a `hidden beast` number, since 7 + 8 + 2 + 4 + 1 + 6 + 495 + 41 + 92 + 6 + 4 = 666.

It is a super-2 number, since 2×782416495419264² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 782416495419192 and 782416495419201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4692829407 + ... + 4692996129.

It is an arithmetic number, because the mean of its divisors is an integer number (9114071662500).

Almost surely, 2^{782416495419264} 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 782416495419264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166601172800000).

782416495419264 is an abundant number, since it is smaller than the sum of its proper divisors (1550785850180736).

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

782416495419264 is a wasteful number, since it uses less digits than its factorization.

782416495419264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180842 (or 180824 counting only the distinct ones).

The product of its digits is 836075520, while the sum is 72.

The spelling of 782416495419264 in words is "seven hundred eighty-two trillion, four hundred sixteen billion, four hundred ninety-five million, four hundred nineteen thousand, two hundred sixty-four".