276746051400 has 1152 divisors, whose sum is σ = 1108277280000. Its totient is φ = 57062154240.

The previous prime is 276746051377. The next prime is 276746051401. The reversal of 276746051400 is 4150647672.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (276746051401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2538954546 + ... + 2538954654.

It is an arithmetic number, because the mean of its divisors is an integer number (962046250).

Almost surely, 2^276746051400 is an apocalyptic number.

276746051400 is a gapful number since it is divisible by the number (20) 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 276746051400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554138640000).

276746051400 is an abundant number, since it is smaller than the sum of its proper divisors (831531228600).

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

276746051400 is a wasteful number, since it uses less digits than its factorization.

276746051400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 276746051400 in words is "two hundred seventy-six billion, seven hundred forty-six million, fifty-one thousand, four hundred".