786946596480 has 2304 divisors, whose sum is σ = 3413162188800. Its totient is φ = 172440576000.

The previous prime is 786946596473. The next prime is 786946596487. The reversal of 786946596480 is 84695649687.

786946596480 is a `hidden beast` number, since 7 + 8 + 6 + 94 + 6 + 59 + 6 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (786946596473) and next prime (786946596487).

It is a super-2 number, since 2×786946596480² (a number of 25 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 = 786946596399 and 786946596408.

It is not an unprimeable number, because it can be changed into a prime (786946596487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11083754845 + ... + 11083754915.

It is an arithmetic number, because the mean of its divisors is an integer number (1481407200).

Almost surely, 2^786946596480 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 786946596480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706581094400).

786946596480 is an abundant number, since it is smaller than the sum of its proper divisors (2626215592320).

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

786946596480 is a wasteful number, since it uses less digits than its factorization.

786946596480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 786946596480 in words is "seven hundred eighty-six billion, nine hundred forty-six million, five hundred ninety-six thousand, four hundred eighty".