16479503040 has 672 divisors, whose sum is σ = 70828692480. Its totient is φ = 3158876160.

The previous prime is 16479503021. The next prime is 16479503057. The reversal of 16479503040 is 4030597461.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 16479503040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10569781 + ... + 10571339.

It is an arithmetic number, because the mean of its divisors is an integer number (105399840).

Almost surely, 2^16479503040 is an apocalyptic number.

16479503040 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 16479503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35414346240).

16479503040 is an abundant number, since it is smaller than the sum of its proper divisors (54349189440).

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

16479503040 is a wasteful number, since it uses less digits than its factorization.

16479503040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 16479503040 in words is "sixteen billion, four hundred seventy-nine million, five hundred three thousand, forty".