36848623680 has 840 divisors, whose sum is σ = 149116450560. Its totient is φ = 8622028800.

The previous prime is 36848623673. The next prime is 36848623681. The reversal of 36848623680 is 8632684863.

It is a happy number.

36848623680 is a `hidden beast` number, since 3 + 6 + 8 + 4 + 8 + 623 + 6 + 8 + 0 = 666.

It is a super-2 number, since 2×36848623680² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (36848623681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 97225731 + ... + 97226109.

It is an arithmetic number, because the mean of its divisors is an integer number (177519584).

Almost surely, 2^36848623680 is an apocalyptic number.

36848623680 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 36848623680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74558225280).

36848623680 is an abundant number, since it is smaller than the sum of its proper divisors (112267826880).

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

36848623680 is a wasteful number, since it uses less digits than its factorization.

36848623680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 431 counting only the distinct ones).

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

The spelling of 36848623680 in words is "thirty-six billion, eight hundred forty-eight million, six hundred twenty-three thousand, six hundred eighty".