822378952362240 has 1728 divisors, whose sum is σ = 3657316124286720. Its totient is φ = 173445538775040.

The previous prime is 822378952362221. The next prime is 822378952362263. The reversal of 822378952362240 is 42263259873228.

822378952362240 is a `hidden beast` number, since 8 + 2 + 2 + 3 + 7 + 8 + 9 + 523 + 62 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 73683262260 + ... + 73683273420.

It is an arithmetic number, because the mean of its divisors is an integer number (2116502386740).

Almost surely, 2^{822378952362240} is an apocalyptic number.

822378952362240 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 822378952362240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828658062143360).

822378952362240 is an abundant number, since it is smaller than the sum of its proper divisors (2834937171924480).

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

822378952362240 is a wasteful number, since it uses less digits than its factorization.

822378952362240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14565 (or 14538 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 822378952362240 in words is "eight hundred twenty-two trillion, three hundred seventy-eight billion, nine hundred fifty-two million, three hundred sixty-two thousand, two hundred forty".