36268968240 has 600 divisors, whose sum is σ = 135810026352. Its totient is φ = 8967905280.

The previous prime is 36268968209. The next prime is 36268968247. The reversal of 36268968240 is 4286986263.

36268968240 is a `hidden beast` number, since 3 + 626 + 8 + 9 + 6 + 8 + 2 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (36268968247) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 200380950 + ... + 200381130.

Almost surely, 2^36268968240 is an apocalyptic number.

36268968240 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 36268968240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67905013176).

36268968240 is an abundant number, since it is smaller than the sum of its proper divisors (99541058112).

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

36268968240 is a wasteful number, since it uses less digits than its factorization.

36268968240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 36268968240 in words is "thirty-six billion, two hundred sixty-eight million, nine hundred sixty-eight thousand, two hundred forty".