368509778362440 has 2048 divisors, whose sum is σ = 1572936744960000. Its totient is φ = 75368848896000.

The previous prime is 368509778362403. The next prime is 368509778362463. The reversal of 368509778362440 is 44263877905863.

368509778362440 is a `hidden beast` number, since 3 + 6 + 8 + 50 + 9 + 7 + 78 + 3 + 62 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 30109461841 + ... + 30109474079.

It is an arithmetic number, because the mean of its divisors is an integer number (768035520000).

Almost surely, 2^{368509778362440} is an apocalyptic number.

368509778362440 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 368509778362440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786468372480000).

368509778362440 is an abundant number, since it is smaller than the sum of its proper divisors (1204426966597560).

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

368509778362440 is a wasteful number, since it uses less digits than its factorization.

368509778362440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12664 (or 12654 counting only the distinct ones).

The product of its (nonzero) digits is 1463132160, while the sum is 72.

The spelling of 368509778362440 in words is "three hundred sixty-eight trillion, five hundred nine billion, seven hundred seventy-eight million, three hundred sixty-two thousand, four hundred forty".