15642344340 has 288 divisors, whose sum is σ = 55164485376. Its totient is φ = 3514060800.

The previous prime is 15642344323. The next prime is 15642344357. The reversal of 15642344340 is 4344324651.

15642344340 is a `hidden beast` number, since 1 + 5 + 642 + 3 + 4 + 4 + 3 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (15642344323) and next prime (15642344357).

It is a super-2 number, since 2×15642344340² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 15642344295 and 15642344304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39008140 + ... + 39008540.

It is an arithmetic number, because the mean of its divisors is an integer number (191543352).

Almost surely, 2^15642344340 is an apocalyptic number.

15642344340 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 15642344340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27582242688).

15642344340 is an abundant number, since it is smaller than the sum of its proper divisors (39522141036).

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

15642344340 is a wasteful number, since it uses less digits than its factorization.

15642344340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 15642344340 its reverse (4344324651), we get a palindrome (19986668991).

The spelling of 15642344340 in words is "fifteen billion, six hundred forty-two million, three hundred forty-four thousand, three hundred forty".