7864722988416 has 1920 divisors, whose sum is σ = 29999516738400. Its totient is φ = 2037307023360.

The previous prime is 7864722988387. The next prime is 7864722988471. The reversal of 7864722988416 is 6148892274687.

7864722988416 is a `hidden beast` number, since 7 + 8 + 64 + 72 + 2 + 9 + 88 + 416 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 128929885026 + ... + 128929885086.

Almost surely, 2^{7864722988416} is an apocalyptic number.

7864722988416 is a gapful number since it is divisible by the number (76) 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 7864722988416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14999758369200).

7864722988416 is an abundant number, since it is smaller than the sum of its proper divisors (22134793749984).

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

7864722988416 is an equidigital number, since it uses as much as digits as its factorization.

7864722988416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 129 counting only the distinct ones).

The product of its digits is 520224768, while the sum is 72.

The spelling of 7864722988416 in words is "seven trillion, eight hundred sixty-four billion, seven hundred twenty-two million, nine hundred eighty-eight thousand, four hundred sixteen".