36903659991408 has 1280 divisors, whose sum is σ = 130806627840000. Its totient is φ = 9945299460096.

The previous prime is 36903659991397. The next prime is 36903659991421. The reversal of 36903659991408 is 80419995630963.

36903659991408 is a `hidden beast` number, since 3 + 6 + 90 + 365 + 99 + 91 + 4 + 0 + 8 = 666.

It is a super-2 number, since 2×36903659991408² (a number of 28 digits) contains 22 as substring.

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

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 25861008391 + ... + 25861009817.

It is an arithmetic number, because the mean of its divisors is an integer number (102192678000).

Almost surely, 2^{36903659991408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36903659991408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65403313920000).

36903659991408 is an abundant number, since it is smaller than the sum of its proper divisors (93902967848592).

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

36903659991408 is a wasteful number, since it uses less digits than its factorization.

36903659991408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 340122240, while the sum is 72.

The spelling of 36903659991408 in words is "thirty-six trillion, nine hundred three billion, six hundred fifty-nine million, nine hundred ninety-one thousand, four hundred eight".