10634620140 has 96 divisors (see below), whose sum is σ = 33120346560. Its totient is φ = 2832910848.

The previous prime is 10634620133. The next prime is 10634620229. The reversal of 10634620140 is 4102643601.

10634620140 is a `hidden beast` number, since 1 + 0 + 6 + 34 + 620 + 1 + 4 + 0 = 666.

It is a super-2 number, since 2×10634620140² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 528504 + ... + 548256.

It is an arithmetic number, because the mean of its divisors is an integer number (345003610).

Almost surely, 2^10634620140 is an apocalyptic number.

10634620140 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 10634620140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16560173280).

10634620140 is an abundant number, since it is smaller than the sum of its proper divisors (22485726420).

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

10634620140 is a wasteful number, since it uses less digits than its factorization.

10634620140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20768 (or 20760 counting only the distinct ones).

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

The spelling of 10634620140 in words is "ten billion, six hundred thirty-four million, six hundred twenty thousand, one hundred forty".