36554029940736 has 2880 divisors, whose sum is σ = 145095673282560. Its totient is φ = 8922597949440.

The previous prime is 36554029940719. The next prime is 36554029940761. The reversal of 36554029940736 is 63704992045563.

36554029940736 is a `hidden beast` number, since 3 + 6 + 554 + 0 + 2 + 9 + 9 + 4 + 0 + 73 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 619559829475 + ... + 619559829533.

It is an arithmetic number, because the mean of its divisors is an integer number (50380442112).

Almost surely, 2^{36554029940736} is an apocalyptic number.

36554029940736 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 36554029940736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72547836641280).

36554029940736 is an abundant number, since it is smaller than the sum of its proper divisors (108541643341824).

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

36554029940736 is an equidigital number, since it uses as much as digits as its factorization.

36554029940736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 146966400, while the sum is 63.

The spelling of 36554029940736 in words is "thirty-six trillion, five hundred fifty-four billion, twenty-nine million, nine hundred forty thousand, seven hundred thirty-six".