934649772000 has 384 divisors, whose sum is σ = 3502393509888. Its totient is φ = 213447168000.

The previous prime is 934649771929. The next prime is 934649772011. The reversal of 934649772000 is 277946439.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110959789 + ... + 110968211.

It is an arithmetic number, because the mean of its divisors is an integer number (9120816432).

Almost surely, 2^934649772000 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 934649772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751196754944).

934649772000 is an abundant number, since it is smaller than the sum of its proper divisors (2567743737888).

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

934649772000 is a wasteful number, since it uses less digits than its factorization.

934649772000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9779 (or 9761 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 51.

The spelling of 934649772000 in words is "nine hundred thirty-four billion, six hundred forty-nine million, seven hundred seventy-two thousand".