36834979184640 has 1792 divisors, whose sum is σ = 163178312270400. Its totient is φ = 7769482592256.

The previous prime is 36834979184567. The next prime is 36834979184669. The reversal of 36834979184640 is 4648197943863.

It is a happy number.

36834979184640 is a `hidden beast` number, since 3 + 6 + 8 + 3 + 497 + 91 + 8 + 4 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 10868980066 + ... + 10868983454.

Almost surely, 2^{36834979184640} is an apocalyptic number.

36834979184640 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 36834979184640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81589156135200).

36834979184640 is an abundant number, since it is smaller than the sum of its proper divisors (126343333085760).

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

36834979184640 is an frugal number, since it uses more digits than its factorization.

36834979184640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3462 (or 3419 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 72.

The spelling of 36834979184640 in words is "thirty-six trillion, eight hundred thirty-four billion, nine hundred seventy-nine million, one hundred eighty-four thousand, six hundred forty".