10023380640 has 576 divisors, whose sum is σ = 43672801536. Its totient is φ = 2114076672.

The previous prime is 10023380621. The next prime is 10023380641. The reversal of 10023380640 is 4608332001.

It is a happy number.

10023380640 is a `hidden beast` number, since 10 + 0 + 2 + 3 + 3 + 8 + 0 + 640 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10023380641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3536664 + ... + 3539496.

It is an arithmetic number, because the mean of its divisors is an integer number (75820836).

Almost surely, 2^10023380640 is an apocalyptic number.

10023380640 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 10023380640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21836400768).

10023380640 is an abundant number, since it is smaller than the sum of its proper divisors (33649420896).

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

10023380640 is a wasteful number, since it uses less digits than its factorization.

10023380640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2883 (or 2863 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 10023380640 in words is "ten billion, twenty-three million, three hundred eighty thousand, six hundred forty".