36240368640 has 528 divisors, whose sum is σ = 136094385600. Its totient is φ = 8206614528.

The previous prime is 36240368639. The next prime is 36240368641. The reversal of 36240368640 is 4686304263.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (36240368639) and next prime (36240368641).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 36240368592 and 36240368601.

It is not an unprimeable number, because it can be changed into a prime (36240368641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134722426 + ... + 134722694.

Almost surely, 2^36240368640 is an apocalyptic number.

36240368640 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 36240368640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68047192800).

36240368640 is an abundant number, since it is smaller than the sum of its proper divisors (99854016960).

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

36240368640 is a wasteful number, since it uses less digits than its factorization.

36240368640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

The spelling of 36240368640 in words is "thirty-six billion, two hundred forty million, three hundred sixty-eight thousand, six hundred forty".