36640740897600 has 1008 divisors, whose sum is σ = 146422930082688. Its totient is φ = 7983208611840.

The previous prime is 36640740897571. The next prime is 36640740897641. The reversal of 36640740897600 is 679804704663.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1585001242 + ... + 1585024358.

It is an arithmetic number, because the mean of its divisors is an integer number (145260843336).

Almost surely, 2^{36640740897600} is an apocalyptic number.

36640740897600 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 36640740897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73211465041344).

36640740897600 is an abundant number, since it is smaller than the sum of its proper divisors (109782189185088).

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

36640740897600 is a wasteful number, since it uses less digits than its factorization.

36640740897600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23472 (or 23450 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 60.

The spelling of 36640740897600 in words is "thirty-six trillion, six hundred forty billion, seven hundred forty million, eight hundred ninety-seven thousand, six hundred".