16777988640 has 288 divisors, whose sum is σ = 67546192896. Its totient is φ = 3711191040.

The previous prime is 16777988621. The next prime is 16777988659. The reversal of 16777988640 is 4688977761.

It is an interprime number because it is at equal distance from previous prime (16777988621) and next prime (16777988659).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 285634 + ... + 339326.

It is an arithmetic number, because the mean of its divisors is an integer number (234535392).

Almost surely, 2^16777988640 is an apocalyptic number.

16777988640 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 16777988640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33773096448).

16777988640 is an abundant number, since it is smaller than the sum of its proper divisors (50768204256).

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

16777988640 is a wasteful number, since it uses less digits than its factorization.

16777988640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53752 (or 53741 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 63.

The spelling of 16777988640 in words is "sixteen billion, seven hundred seventy-seven million, nine hundred eighty-eight thousand, six hundred forty".