36364363914240 has 704 divisors, whose sum is σ = 130353201054720. Its totient is φ = 9613355581440.

The previous prime is 36364363914239. The next prime is 36364363914287. The reversal of 36364363914240 is 4241936346363.

36364363914240 is a `hidden beast` number, since 3 + 6 + 3 + 6 + 4 + 3 + 6 + 391 + 4 + 240 = 666.

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

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, 10916949375 + ... + 10916952705.

Almost surely, 2^{36364363914240} is an apocalyptic number.

36364363914240 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 36364363914240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65176600527360).

36364363914240 is an abundant number, since it is smaller than the sum of its proper divisors (93988837140480).

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

36364363914240 is a wasteful number, since it uses less digits than its factorization.

36364363914240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4025 (or 4001 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 54.

The spelling of 36364363914240 in words is "thirty-six trillion, three hundred sixty-four billion, three hundred sixty-three million, nine hundred fourteen thousand, two hundred forty".