10084631760 has 320 divisors, whose sum is σ = 40624066560. Its totient is φ = 2251307520.

The previous prime is 10084631759. The next prime is 10084631771. The reversal of 10084631760 is 6713648001.

10084631760 is a `hidden beast` number, since 10 + 0 + 8 + 4 + 631 + 7 + 6 + 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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 642405 + ... + 657915.

It is an arithmetic number, because the mean of its divisors is an integer number (126950208).

Almost surely, 2^10084631760 is an apocalyptic number.

10084631760 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 10084631760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20312033280).

10084631760 is an abundant number, since it is smaller than the sum of its proper divisors (30539434800).

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

10084631760 is a wasteful number, since it uses less digits than its factorization.

10084631760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15583 (or 15571 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 10084631760 in words is "ten billion, eighty-four million, six hundred thirty-one thousand, seven hundred sixty".