10331504640 has 420 divisors, whose sum is σ = 37390161564. Its totient is φ = 2739142656.

The previous prime is 10331504627. The next prime is 10331504641. The reversal of 10331504640 is 4640513301.

10331504640 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 15 + 0 + 4 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6879707136 + 3451797504 = 82944^2 + 58752^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (10331504641) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 59719594 + ... + 59719766.

Almost surely, 2^10331504640 is an apocalyptic number.

10331504640 is a gapful number since it is divisible by the number (10) 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 10331504640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18695080782).

10331504640 is an abundant number, since it is smaller than the sum of its proper divisors (27058656924).

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

10331504640 is an frugal number, since it uses more digits than its factorization.

10331504640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 10331504640 in words is "ten billion, three hundred thirty-one million, five hundred four thousand, six hundred forty".