36292064640000 has 880 divisors, whose sum is σ = 132013806059520. Its totient is φ = 8807178240000.

The previous prime is 36292064639993. The next prime is 36292064640001. The reversal of 36292064640000 is 4646029263.

It is a super-2 number, since 2×36292064640000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36292064640001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1772149761 + ... + 1772170239.

It is an arithmetic number, because the mean of its divisors is an integer number (150015688704).

Almost surely, 2^{36292064640000} is an apocalyptic number.

36292064640000 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 36292064640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66006903029760).

36292064640000 is an abundant number, since it is smaller than the sum of its proper divisors (95721741419520).

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

36292064640000 is a wasteful number, since it uses less digits than its factorization.

36292064640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20606 (or 20573 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 42.

The spelling of 36292064640000 in words is "thirty-six trillion, two hundred ninety-two billion, sixty-four million, six hundred forty thousand".