276740422400 has 432 divisors, whose sum is σ = 780332222208. Its totient is φ = 96436224000.

The previous prime is 276740422397. The next prime is 276740422447. The reversal of 276740422400 is 4224047672.

It is a super-2 number, since 2×276740422400² (a number of 24 digits) contains 22 as substring.

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, 105745892 + ... + 105748508.

Almost surely, 2^276740422400 is an apocalyptic number.

276740422400 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 276740422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390166111104).

276740422400 is an abundant number, since it is smaller than the sum of its proper divisors (503591799808).

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

276740422400 is a wasteful number, since it uses less digits than its factorization.

276740422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2728 (or 2709 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 38.

The spelling of 276740422400 in words is "two hundred seventy-six billion, seven hundred forty million, four hundred twenty-two thousand, four hundred".