9401764320 has 576 divisors, whose sum is σ = 37803677184. Its totient is φ = 2105671680.

The previous prime is 9401764313. The next prime is 9401764321. The reversal of 9401764320 is 234671049.

9401764320 is a `hidden beast` number, since 9 + 4 + 0 + 1 + 7 + 643 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9401764321) 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 95 ways as a sum of consecutive naturals, for example, 9864964 + ... + 9865916.

It is an arithmetic number, because the mean of its divisors is an integer number (65631384).

Almost surely, 2^9401764320 is an apocalyptic number.

9401764320 is a gapful number since it is divisible by the number (90) 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 9401764320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18901838592).

9401764320 is an abundant number, since it is smaller than the sum of its proper divisors (28401912864).

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

9401764320 is a wasteful number, since it uses less digits than its factorization.

9401764320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 9401764320 is about 96962.6955070866. The cubic root of 9401764320 is about 2110.5863258300.

The spelling of 9401764320 in words is "nine billion, four hundred one million, seven hundred sixty-four thousand, three hundred twenty".