785190640416 has 864 divisors, whose sum is σ = 2710540578816. Its totient is φ = 198132480000.

The previous prime is 785190640387. The next prime is 785190640417. The reversal of 785190640416 is 614046091587.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (785190640417) 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, 3721282551 + ... + 3721282761.

It is an arithmetic number, because the mean of its divisors is an integer number (3137199744).

Almost surely, 2^785190640416 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 785190640416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355270289408).

785190640416 is an abundant number, since it is smaller than the sum of its proper divisors (1925349938400).

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

785190640416 is a wasteful number, since it uses less digits than its factorization.

785190640416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 785190640416 in words is "seven hundred eighty-five billion, one hundred ninety million, six hundred forty thousand, four hundred sixteen".