36430606704000 has 512 divisors, whose sum is σ = 124109175191040. Its totient is φ = 9446342860800.

The previous prime is 36430606703993. The next prime is 36430606704047. The reversal of 36430606704000 is 40760603463.

It is a self number, because there is not a number n which added to its sum of digits gives 36430606704000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3315786507 + ... + 3315797493.

It is an arithmetic number, because the mean of its divisors is an integer number (242400732795).

Almost surely, 2^{36430606704000} is an apocalyptic number.

36430606704000 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 36430606704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62054587595520).

36430606704000 is an abundant number, since it is smaller than the sum of its proper divisors (87678568487040).

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

36430606704000 is a wasteful number, since it uses less digits than its factorization.

36430606704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12923 (or 12901 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 39.

The spelling of 36430606704000 in words is "thirty-six trillion, four hundred thirty billion, six hundred six million, seven hundred four thousand".