36430746075360 has 768 divisors, whose sum is σ = 157360676659200. Its totient is φ = 7665512620032.

The previous prime is 36430746075343. The next prime is 36430746075371. The reversal of 36430746075360 is 6357064703463.

36430746075360 is a `hidden beast` number, since 3 + 6 + 4 + 30 + 74 + 6 + 0 + 7 + 536 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 36430746075297 and 36430746075306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 144148786 + ... + 144401294.

It is an arithmetic number, because the mean of its divisors is an integer number (204896714400).

Almost surely, 2^{36430746075360} is an apocalyptic number.

36430746075360 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 36430746075360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78680338329600).

36430746075360 is an abundant number, since it is smaller than the sum of its proper divisors (120929930583840).

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

36430746075360 is a wasteful number, since it uses less digits than its factorization.

36430746075360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252920 (or 252906 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 54.

The spelling of 36430746075360 in words is "thirty-six trillion, four hundred thirty billion, seven hundred forty-six million, seventy-five thousand, three hundred sixty".