934479550368 has 1152 divisors, whose sum is σ = 3488452531200. Its totient is φ = 235564277760.

The previous prime is 934479550307. The next prime is 934479550391. The reversal of 934479550368 is 863055974439.

934479550368 is a `hidden beast` number, since 9 + 3 + 4 + 4 + 79 + 550 + 3 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 191 ways as a sum of consecutive naturals, for example, 3373572246 + ... + 3373572522.

It is an arithmetic number, because the mean of its divisors is an integer number (3028170600).

Almost surely, 2^934479550368 is an apocalyptic number.

934479550368 is a gapful number since it is divisible by the number (98) 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 934479550368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744226265600).

934479550368 is an abundant number, since it is smaller than the sum of its proper divisors (2553972980832).

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

934479550368 is a wasteful number, since it uses less digits than its factorization.

934479550368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 934479550368 in words is "nine hundred thirty-four billion, four hundred seventy-nine million, five hundred fifty thousand, three hundred sixty-eight".