10074632340 has 96 divisors (see below), whose sum is σ = 29829381120. Its totient is φ = 2536473600.

The previous prime is 10074632311. The next prime is 10074632341. The reversal of 10074632340 is 4323647001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10074632298 and 10074632307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10074632341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10206 + ... + 142314.

It is an arithmetic number, because the mean of its divisors is an integer number (310722720).

Almost surely, 2^10074632340 is an apocalyptic number.

10074632340 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 10074632340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14914690560).

10074632340 is an abundant number, since it is smaller than the sum of its proper divisors (19754748780).

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

10074632340 is a wasteful number, since it uses less digits than its factorization.

10074632340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132193 (or 132191 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The spelling of 10074632340 in words is "ten billion, seventy-four million, six hundred thirty-two thousand, three hundred forty".