36264598428240 has 640 divisors, whose sum is σ = 154947736043520. Its totient is φ = 7591179036672.

The previous prime is 36264598428187. The next prime is 36264598428271. The reversal of 36264598428240 is 4282489546263.

36264598428240 is a `hidden beast` number, since 3 + 6 + 26 + 459 + 8 + 42 + 82 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24236757 + ... + 25689483.

It is an arithmetic number, because the mean of its divisors is an integer number (242105837568).

Almost surely, 2^{36264598428240} is an apocalyptic number.

36264598428240 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 36264598428240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77473868021760).

36264598428240 is an abundant number, since it is smaller than the sum of its proper divisors (118683137615280).

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

36264598428240 is a wasteful number, since it uses less digits than its factorization.

36264598428240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452896 (or 1452884 counting only the distinct ones).

The product of its (nonzero) digits is 159252480, while the sum is 63.

The spelling of 36264598428240 in words is "thirty-six trillion, two hundred sixty-four billion, five hundred ninety-eight million, four hundred twenty-eight thousand, two hundred forty".