16773765120 has 768 divisors, whose sum is σ = 69629414400. Its totient is φ = 3798171648.

The previous prime is 16773765109. The next prime is 16773765121. The reversal of 16773765120 is 2156737761.

16773765120 is a `hidden beast` number, since 1 + 67 + 7 + 3 + 76 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×16773765120² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16773765121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 156764107 + ... + 156764213.

It is an arithmetic number, because the mean of its divisors is an integer number (90663300).

Almost surely, 2^16773765120 is an apocalyptic number.

16773765120 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 16773765120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34814707200).

16773765120 is an abundant number, since it is smaller than the sum of its proper divisors (52855649280).

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

16773765120 is an frugal number, since it uses more digits than its factorization.

16773765120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 16773765120 in words is "sixteen billion, seven hundred seventy-three million, seven hundred sixty-five thousand, one hundred twenty".