36842123976840 has 576 divisors, whose sum is σ = 150045286809600. Its totient is φ = 7770940498944.

The previous prime is 36842123976799. The next prime is 36842123976859. The reversal of 36842123976840 is 4867932124863.

36842123976840 is a `hidden beast` number, since 3 + 6 + 8 + 421 + 23 + 97 + 68 + 40 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 821631141 + ... + 821675979.

It is an arithmetic number, because the mean of its divisors is an integer number (260495289600).

Almost surely, 2^{36842123976840} is an apocalyptic number.

36842123976840 is a gapful number since it is divisible by the number (30) 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 36842123976840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75022643404800).

36842123976840 is an abundant number, since it is smaller than the sum of its proper divisors (113203162832760).

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

36842123976840 is a wasteful number, since it uses less digits than its factorization.

36842123976840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48466 (or 48452 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 36842123976840 in words is "thirty-six trillion, eight hundred forty-two billion, one hundred twenty-three million, nine hundred seventy-six thousand, eight hundred forty".