390764493471744 has 3400 divisors, whose sum is σ = 1501132364700672. Its totient is φ = 100944413982720.

The previous prime is 390764493471739. The next prime is 390764493471761. The reversal of 390764493471744 is 447174394467093.

390764493471744 is a `hidden beast` number, since 3 + 9 + 0 + 7 + 6 + 449 + 3 + 4 + 7 + 174 + 4 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 9087546359787 + ... + 9087546359829.

Almost surely, 2^{390764493471744} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390764493471744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750566182350336).

390764493471744 is an abundant number, since it is smaller than the sum of its proper divisors (1110367871228928).

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

390764493471744 is an frugal number, since it uses more digits than its factorization.

390764493471744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1536288768, while the sum is 72.

The spelling of 390764493471744 in words is "three hundred ninety trillion, seven hundred sixty-four billion, four hundred ninety-three million, four hundred seventy-one thousand, seven hundred forty-four".