36040966385760 has 576 divisors, whose sum is σ = 146983709376000. Its totient is φ = 8224153426944.

The previous prime is 36040966385747. The next prime is 36040966385771. The reversal of 36040966385760 is 6758366904063.

It is a happy number.

36040966385760 is a `hidden beast` number, since 3 + 60 + 40 + 96 + 6 + 385 + 76 + 0 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 126654199 + ... + 126938441.

It is an arithmetic number, because the mean of its divisors is an integer number (255180051000).

Almost surely, 2^{36040966385760} is an apocalyptic number.

36040966385760 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 36040966385760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73491854688000).

36040966385760 is an abundant number, since it is smaller than the sum of its proper divisors (110942742990240).

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

36040966385760 is a wasteful number, since it uses less digits than its factorization.

36040966385760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284880 (or 284859 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

The spelling of 36040966385760 in words is "thirty-six trillion, forty billion, nine hundred sixty-six million, three hundred eighty-five thousand, seven hundred sixty".