10104272640 has 576 divisors, whose sum is σ = 44715525120. Its totient is φ = 2099036160.

The previous prime is 10104272611. The next prime is 10104272653. The reversal of 10104272640 is 4627240101.

10104272640 is a `hidden beast` number, since 1 + 0 + 10 + 4 + 2 + 7 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2659222 + ... + 2663018.

It is an arithmetic number, because the mean of its divisors is an integer number (77631120).

Almost surely, 2^10104272640 is an apocalyptic number.

10104272640 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 10104272640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22357762560).

10104272640 is an abundant number, since it is smaller than the sum of its proper divisors (34611252480).

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

10104272640 is a wasteful number, since it uses less digits than its factorization.

10104272640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3845 (or 3825 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 10104272640 in words is "ten billion, one hundred four million, two hundred seventy-two thousand, six hundred forty".