10201904640 has 200 divisors, whose sum is σ = 36540741600. Its totient is φ = 2720452608.

The previous prime is 10201904627. The next prime is 10201904641. The reversal of 10201904640 is 4640910201.

10201904640 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 19 + 0 + 4 + 640 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201904641) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 182761 + ... + 231959.

It is an arithmetic number, because the mean of its divisors is an integer number (182703708).

Almost surely, 2^10201904640 is an apocalyptic number.

10201904640 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 10201904640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18270370800).

10201904640 is an abundant number, since it is smaller than the sum of its proper divisors (26338836960).

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

10201904640 is an frugal number, since it uses more digits than its factorization.

10201904640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49234 (or 49209 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 10201904640 in words is "ten billion, two hundred one million, nine hundred four thousand, six hundred forty".