36375185228976 has 480 divisors, whose sum is σ = 117362090726400. Its totient is φ = 10401391595520.

The previous prime is 36375185228953. The next prime is 36375185228983. The reversal of 36375185228976 is 67982258157363.

36375185228976 is a `hidden beast` number, since 3 + 6 + 3 + 7 + 5 + 1 + 8 + 522 + 8 + 97 + 6 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 12470065470 + ... + 12470068386.

It is an arithmetic number, because the mean of its divisors is an integer number (244504355680).

Almost surely, 2^{36375185228976} is an apocalyptic number.

36375185228976 is a gapful number since it is divisible by the number (36) 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 36375185228976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58681045363200).

36375185228976 is an abundant number, since it is smaller than the sum of its proper divisors (80986905497424).

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

36375185228976 is a wasteful number, since it uses less digits than its factorization.

36375185228976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4457 (or 4448 counting only the distinct ones).

The product of its digits is 914457600, while the sum is 72.

The spelling of 36375185228976 in words is "thirty-six trillion, three hundred seventy-five billion, one hundred eighty-five million, two hundred twenty-eight thousand, nine hundred seventy-six".