786463856640 has 1728 divisors, whose sum is σ = 3598283969280. Its totient is φ = 154315653120.

The previous prime is 786463856611. The next prime is 786463856641. The reversal of 786463856640 is 46658364687.

786463856640 is a `hidden beast` number, since 7 + 8 + 6 + 4 + 63 + 8 + 566 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (786463856641) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2561771367 + ... + 2561771673.

It is an arithmetic number, because the mean of its divisors is an integer number (2082340260).

Almost surely, 2^786463856640 is an apocalyptic number.

786463856640 is a gapful number since it is divisible by the number (70) 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 786463856640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799141984640).

786463856640 is an abundant number, since it is smaller than the sum of its proper divisors (2811820112640).

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

786463856640 is a wasteful number, since it uses less digits than its factorization.

786463856640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 786463856640 in words is "seven hundred eighty-six billion, four hundred sixty-three million, eight hundred fifty-six thousand, six hundred forty".