819831767040 has 1280 divisors, whose sum is σ = 3466840608000. Its totient is φ = 183458856960.

The previous prime is 819831767009. The next prime is 819831767063. The reversal of 819831767040 is 40767138918.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63063982074 + ... + 63063982086.

It is an arithmetic number, because the mean of its divisors is an integer number (2708469225).

Almost surely, 2^819831767040 is an apocalyptic number.

819831767040 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 819831767040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1733420304000).

819831767040 is an abundant number, since it is smaller than the sum of its proper divisors (2647008840960).

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

819831767040 is an frugal number, since it uses more digits than its factorization.

819831767040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

It can be divided in two parts, 819831 and 767040, that added together give a triangular number (1586871 = T₁₇₈₁).

The spelling of 819831767040 in words is "eight hundred nineteen billion, eight hundred thirty-one million, seven hundred sixty-seven thousand, forty".