276482460672 has 528 divisors, whose sum is σ = 914801876352. Its totient is φ = 82705121280.

The previous prime is 276482460649. The next prime is 276482460677. The reversal of 276482460672 is 276064284672.

276482460672 is a `hidden beast` number, since 2 + 7 + 6 + 4 + 8 + 24 + 606 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (276482460677) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 227183008 + ... + 227184224.

Almost surely, 2^276482460672 is an apocalyptic number.

276482460672 is a gapful number since it is divisible by the number (22) 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 276482460672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457400938176).

276482460672 is an abundant number, since it is smaller than the sum of its proper divisors (638319415680).

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

276482460672 is a wasteful number, since it uses less digits than its factorization.

276482460672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 276482460672 in words is "two hundred seventy-six billion, four hundred eighty-two million, four hundred sixty thousand, six hundred seventy-two".