36598418461440 has 1728 divisors, whose sum is σ = 146702949120000. Its totient is φ = 8337292001280.

The previous prime is 36598418461439. The next prime is 36598418461471. The reversal of 36598418461440 is 4416481489563.

36598418461440 is a `hidden beast` number, since 3 + 6 + 5 + 9 + 8 + 4 + 1 + 8 + 4 + 614 + 4 + 0 = 666.

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, 51619771806 + ... + 51619772514.

It is an arithmetic number, because the mean of its divisors is an integer number (84897540000).

Almost surely, 2^{36598418461440} is an apocalyptic number.

36598418461440 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 36598418461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73351474560000).

36598418461440 is an abundant number, since it is smaller than the sum of its proper divisors (110104530658560).

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

36598418461440 is a wasteful number, since it uses less digits than its factorization.

36598418461440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 36598418461440 in words is "thirty-six trillion, five hundred ninety-eight billion, four hundred eighteen million, four hundred sixty-one thousand, four hundred forty".