7890449492464 has 240 divisors, whose sum is σ = 20667497070528. Its totient is φ = 2845928448000.

The previous prime is 7890449492449. The next prime is 7890449492479. The reversal of 7890449492464 is 4642949440987.

It is an interprime number because it is at equal distance from previous prime (7890449492449) and next prime (7890449492479).

It is a junction number, because it is equal to n+sod(n) for n = 7890449492393 and 7890449492402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13772694 + ... + 14334154.

Almost surely, 2^{7890449492464} 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 7890449492464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10333748535264).

7890449492464 is an abundant number, since it is smaller than the sum of its proper divisors (12777047578064).

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

7890449492464 is a wasteful number, since it uses less digits than its factorization.

7890449492464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561576 (or 561559 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 70.

The spelling of 7890449492464 in words is "seven trillion, eight hundred ninety billion, four hundred forty-nine million, four hundred ninety-two thousand, four hundred sixty-four".