16240292640 has 1152 divisors, whose sum is σ = 71010680832. Its totient is φ = 3448811520.

The previous prime is 16240292597. The next prime is 16240292641. The reversal of 16240292640 is 4629204261.

16240292640 is a `hidden beast` number, since 1 + 6 + 2 + 4 + 0 + 2 + 9 + 2 + 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 = 16240292595 and 16240292604.

It is not an unprimeable number, because it can be changed into a prime (16240292641) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 127876257 + ... + 127876383.

It is an arithmetic number, because the mean of its divisors is an integer number (61641216).

Almost surely, 2^16240292640 is an apocalyptic number.

16240292640 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 16240292640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35505340416).

16240292640 is an abundant number, since it is smaller than the sum of its proper divisors (54770388192).

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

16240292640 is a wasteful number, since it uses less digits than its factorization.

16240292640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 16240292640 in words is "sixteen billion, two hundred forty million, two hundred ninety-two thousand, six hundred forty".