15406316640 has 1152 divisors, whose sum is σ = 68236826112. Its totient is φ = 3224862720.

The previous prime is 15406316593. The next prime is 15406316677. The reversal of 15406316640 is 4661360451.

It is a happy number.

15406316640 is a `hidden beast` number, since 1 + 5 + 4 + 0 + 6 + 3 + 1 + 6 + 640 = 666.

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 = 15406316595 and 15406316604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 94517199 + ... + 94517361.

It is an arithmetic number, because the mean of its divisors is an integer number (59233356).

Almost surely, 2^15406316640 is an apocalyptic number.

15406316640 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 15406316640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34118413056).

15406316640 is an abundant number, since it is smaller than the sum of its proper divisors (52830509472).

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

15406316640 is a wasteful number, since it uses less digits than its factorization.

15406316640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 15406316640 in words is "fifteen billion, four hundred six million, three hundred sixteen thousand, six hundred forty".