857664900384 has 48 divisors (see below), whose sum is σ = 2256384664800. Its totient is φ = 285251563520.

The previous prime is 857664900377. The next prime is 857664900427. The reversal of 857664900384 is 483009466758.

857664900384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-4 number, since 4×857664900384⁴ (a number of 49 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9905682 + ... + 9991889.

It is an arithmetic number, because the mean of its divisors is an integer number (47008013850).

Almost surely, 2^857664900384 is an apocalyptic number.

It is an amenable number.

857664900384 is an abundant number, since it is smaller than the sum of its proper divisors (1398719764416).

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

857664900384 is a wasteful number, since it uses less digits than its factorization.

857664900384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19898033 (or 19898025 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 857664900384 in words is "eight hundred fifty-seven billion, six hundred sixty-four million, nine hundred thousand, three hundred eighty-four".