919505664 has 432 divisors, whose sum is σ = 3397814784. Its totient is φ = 232243200.

The previous prime is 919505659. The next prime is 919505669. The reversal of 919505664 is 466505919.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (919505659) and next prime (919505669).

It is a super-2 number, since 2×919505664² = 1690981332256161792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (919505669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12595932 + ... + 12596004.

It is an arithmetic number, because the mean of its divisors is an integer number (7865312).

Almost surely, 2^919505664 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 919505664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698907392).

919505664 is an abundant number, since it is smaller than the sum of its proper divisors (2478309120).

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

919505664 is a wasteful number, since it uses less digits than its factorization.

919505664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 919505664 is about 30323.3517936260. The cubic root of 919505664 is about 972.4145973029.

The spelling of 919505664 in words is "nine hundred nineteen million, five hundred five thousand, six hundred sixty-four".