368581253040 has 2880 divisors, whose sum is σ = 1826955067392. Its totient is φ = 66960691200.

The previous prime is 368581253011. The next prime is 368581253041. The reversal of 368581253040 is 40352185863.

368581253040 is a `hidden beast` number, since 3 + 6 + 8 + 581 + 25 + 3 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368581253041) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 7842154297 + ... + 7842154343.

Almost surely, 2^368581253040 is an apocalyptic number.

368581253040 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 368581253040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913477533696).

368581253040 is an abundant number, since it is smaller than the sum of its proper divisors (1458373814352).

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

368581253040 is a wasteful number, since it uses less digits than its factorization.

368581253040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 368581253040 in words is "three hundred sixty-eight billion, five hundred eighty-one million, two hundred fifty-three thousand, forty".