10074813630 has 96 divisors (see below), whose sum is σ = 27916019712. Its totient is φ = 2279529600.

The previous prime is 10074813599. The next prime is 10074813667. The reversal of 10074813630 is 3631847001.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10074813591 and 10074813600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2139859 + ... + 2144561.

It is an arithmetic number, because the mean of its divisors is an integer number (290791872).

Almost surely, 2^10074813630 is an apocalyptic number.

10074813630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10074813630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13958009856).

10074813630 is an abundant number, since it is smaller than the sum of its proper divisors (17841206082).

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

10074813630 is a wasteful number, since it uses less digits than its factorization.

10074813630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4922 (or 4821 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 10074813630 in words is "ten billion, seventy-four million, eight hundred thirteen thousand, six hundred thirty".