819421676640 has 576 divisors, whose sum is σ = 3314544105600. Its totient is φ = 184219176960.

The previous prime is 819421676639. The next prime is 819421676651. The reversal of 819421676640 is 46676124918.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30115522 + ... + 30142718.

It is an arithmetic number, because the mean of its divisors is an integer number (5754416850).

Almost surely, 2^819421676640 is an apocalyptic number.

819421676640 is a gapful number since it is divisible by the number (80) 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 819421676640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657272052800).

819421676640 is an abundant number, since it is smaller than the sum of its proper divisors (2495122428960).

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

819421676640 is a wasteful number, since it uses less digits than its factorization.

819421676640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27300 (or 27275 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 819421676640 in words is "eight hundred nineteen billion, four hundred twenty-one million, six hundred seventy-six thousand, six hundred forty".