36249949440 has 720 divisors, whose sum is σ = 136332903168. Its totient is φ = 9187540992.

The previous prime is 36249949433. The next prime is 36249949451. The reversal of 36249949440 is 4494994263.

It is a happy number.

36249949440 is a `hidden beast` number, since 3 + 6 + 24 + 99 + 494 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 79 ways as a sum of consecutive naturals, for example, 209537194 + ... + 209537366.

Almost surely, 2^36249949440 is an apocalyptic number.

36249949440 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 36249949440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68166451584).

36249949440 is an abundant number, since it is smaller than the sum of its proper divisors (100082953728).

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

36249949440 is a wasteful number, since it uses less digits than its factorization.

36249949440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 36249949440 in words is "thirty-six billion, two hundred forty-nine million, nine hundred forty-nine thousand, four hundred forty".