16429613760 has 252 divisors, whose sum is σ = 65737880208. Its totient is φ = 3755308032.

The previous prime is 16429613729. The next prime is 16429613777. The reversal of 16429613760 is 6731692461.

16429613760 is a `hidden beast` number, since 1 + 6 + 4 + 29 + 613 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 82909 + ... + 199331.

It is an arithmetic number, because the mean of its divisors is an integer number (260864604).

Almost surely, 2^16429613760 is an apocalyptic number.

16429613760 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 16429613760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32868940104).

16429613760 is an abundant number, since it is smaller than the sum of its proper divisors (49308266448).

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

16429613760 is a wasteful number, since it uses less digits than its factorization.

16429613760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116460 (or 116440 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 16429613760 in words is "sixteen billion, four hundred twenty-nine million, six hundred thirteen thousand, seven hundred sixty".