2769193478016 has 256 divisors, whose sum is σ = 9353165644800. Its totient is φ = 790128138240.

The previous prime is 2769193478011. The next prime is 2769193478027. The reversal of 2769193478016 is 6108743919672.

2769193478016 is a `hidden beast` number, since 2 + 7 + 69 + 1 + 93 + 478 + 0 + 16 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2769193478011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17897626 + ... + 18051686.

It is an arithmetic number, because the mean of its divisors is an integer number (36535803300).

Almost surely, 2^{2769193478016} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2769193478016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4676582822400).

2769193478016 is an abundant number, since it is smaller than the sum of its proper divisors (6583972166784).

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

2769193478016 is a wasteful number, since it uses less digits than its factorization.

2769193478016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154834 (or 154816 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 2769193478016 in words is "two trillion, seven hundred sixty-nine billion, one hundred ninety-three million, four hundred seventy-eight thousand, sixteen".