83380641364800 has 672 divisors, whose sum is σ = 328367645625600. Its totient is φ = 20459675934720.

The previous prime is 83380641364753. The next prime is 83380641364837. The reversal of 83380641364800 is 846314608338.

83380641364800 is a `hidden beast` number, since 83 + 3 + 80 + 6 + 4 + 1 + 3 + 6 + 480 + 0 = 666.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 177793021 + ... + 178261379.

It is an arithmetic number, because the mean of its divisors is an integer number (488642329800).

Almost surely, 2^{83380641364800} is an apocalyptic number.

83380641364800 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 83380641364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164183822812800).

83380641364800 is an abundant number, since it is smaller than the sum of its proper divisors (244987004260800).

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

83380641364800 is a wasteful number, since it uses less digits than its factorization.

83380641364800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468720 (or 468699 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 83380641364800 in words is "eighty-three trillion, three hundred eighty billion, six hundred forty-one million, three hundred sixty-four thousand, eight hundred".