16427888640 has 312 divisors, whose sum is σ = 59069953488. Its totient is φ = 4379443200.

The previous prime is 16427888591. The next prime is 16427888641. The reversal of 16427888640 is 4688872461.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16427888641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4974990 + ... + 4978290.

It is an arithmetic number, because the mean of its divisors is an integer number (189326774).

Almost surely, 2^16427888640 is an apocalyptic number.

16427888640 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 16427888640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29534976744).

16427888640 is an abundant number, since it is smaller than the sum of its proper divisors (42642064848).

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

16427888640 is an frugal number, since it uses more digits than its factorization.

16427888640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3345 (or 3311 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 16427888640 in words is "sixteen billion, four hundred twenty-seven million, eight hundred eighty-eight thousand, six hundred forty".