786438010560 has 448 divisors, whose sum is σ = 2661375098880. Its totient is φ = 196199055360.

The previous prime is 786438010559. The next prime is 786438010597. The reversal of 786438010560 is 65010834687.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 595334700 + ... + 595336020.

Almost surely, 2^786438010560 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 786438010560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330687549440).

786438010560 is an abundant number, since it is smaller than the sum of its proper divisors (1874937088320).

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

786438010560 is a wasteful number, since it uses less digits than its factorization.

786438010560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1744 (or 1734 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 786438010560 in words is "seven hundred eighty-six billion, four hundred thirty-eight million, ten thousand, five hundred sixty".