9402064896 has 448 divisors, whose sum is σ = 31002402816. Its totient is φ = 2477260800.

The previous prime is 9402064883. The next prime is 9402064921. The reversal of 9402064896 is 6984602049.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218652651 + ... + 218652693.

It is an arithmetic number, because the mean of its divisors is an integer number (69201792).

Almost surely, 2^9402064896 is an apocalyptic number.

9402064896 is a gapful number since it is divisible by the number (96) 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 9402064896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15501201408).

9402064896 is an abundant number, since it is smaller than the sum of its proper divisors (21600337920).

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

9402064896 is a wasteful number, since it uses less digits than its factorization.

9402064896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The square root of 9402064896 is about 96964.2454516096. The cubic root of 9402064896 is about 2110.6088175246.

The spelling of 9402064896 in words is "nine billion, four hundred two million, sixty-four thousand, eight hundred ninety-six".