838984366080 has 1152 divisors, whose sum is σ = 3520153728000. Its totient is φ = 191572770816.

The previous prime is 838984366063. The next prime is 838984366091. The reversal of 838984366080 is 80663489838.

838984366080 is a `hidden beast` number, since 8 + 38 + 98 + 436 + 6 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a junction number, because it is equal to n+sod(n) for n = 838984365999 and 838984366017.

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, 853493269 + ... + 853494251.

It is an arithmetic number, because the mean of its divisors is an integer number (3055689000).

Almost surely, 2^838984366080 is an apocalyptic number.

838984366080 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 838984366080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760076864000).

838984366080 is an abundant number, since it is smaller than the sum of its proper divisors (2681169361920).

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

838984366080 is an frugal number, since it uses more digits than its factorization.

838984366080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 838984366080 in words is "eight hundred thirty-eight billion, nine hundred eighty-four million, three hundred sixty-six thousand, eighty".