919361664 has 320 divisors, whose sum is σ = 3110184000. Its totient is φ = 267245568.

The previous prime is 919361647. The next prime is 919361669. The reversal of 919361664 is 466163919.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (919361669) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2560717 + ... + 2561075.

It is an arithmetic number, because the mean of its divisors is an integer number (9719325).

Almost surely, 2^919361664 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 919361664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555092000).

919361664 is an abundant number, since it is smaller than the sum of its proper divisors (2190822336).

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

919361664 is a wasteful number, since it uses less digits than its factorization.

919361664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 396 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 919361664 is about 30320.9772929568. The cubic root of 919361664 is about 972.3638327027.

The spelling of 919361664 in words is "nine hundred nineteen million, three hundred sixty-one thousand, six hundred sixty-four".