7782891913728 has 320 divisors, whose sum is σ = 24168065644800. Its totient is φ = 2469550325760.

The previous prime is 7782891913711. The next prime is 7782891913729. The reversal of 7782891913728 is 8273191982877.

7782891913728 is a `hidden beast` number, since 7 + 7 + 82 + 8 + 91 + 91 + 372 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (7782891913729) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28326900 + ... + 28600332.

It is an arithmetic number, because the mean of its divisors is an integer number (75525205140).

Almost surely, 2^{7782891913728} 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 7782891913728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12084032822400).

7782891913728 is an abundant number, since it is smaller than the sum of its proper divisors (16385173731072).

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

7782891913728 is a wasteful number, since it uses less digits than its factorization.

7782891913728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273560 (or 273538 counting only the distinct ones).

The product of its digits is 170698752, while the sum is 72.

The spelling of 7782891913728 in words is "seven trillion, seven hundred eighty-two billion, eight hundred ninety-one million, nine hundred thirteen thousand, seven hundred twenty-eight".