35640985816800 has 1296 divisors, whose sum is σ = 157503509130240. Its totient is φ = 7424528117760.

The previous prime is 35640985816783. The next prime is 35640985816829. The reversal of 35640985816800 is 861858904653.

35640985816800 is a `hidden beast` number, since 3 + 5 + 6 + 40 + 9 + 8 + 581 + 6 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 672863917 + ... + 672916883.

It is an arithmetic number, because the mean of its divisors is an integer number (121530485440).

Almost surely, 2^{35640985816800} is an apocalyptic number.

35640985816800 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 35640985816800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78751754565120).

35640985816800 is an abundant number, since it is smaller than the sum of its proper divisors (121862523313440).

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

35640985816800 is a wasteful number, since it uses less digits than its factorization.

35640985816800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53105 (or 53076 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 35640985816800 in words is "thirty-five trillion, six hundred forty billion, nine hundred eighty-five million, eight hundred sixteen thousand, eight hundred".