276426567648 has 576 divisors, whose sum is σ = 1032056847360. Its totient is φ = 70434524160.

The previous prime is 276426567631. The next prime is 276426567649. The reversal of 276426567648 is 846765624672.

276426567648 is a `hidden beast` number, since 2 + 7 + 6 + 4 + 2 + 6 + 567 + 64 + 8 = 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 (276426567649) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38782261 + ... + 38789387.

It is an arithmetic number, because the mean of its divisors is an integer number (1791765360).

Almost surely, 2^276426567648 is an apocalyptic number.

276426567648 is a gapful number since it is divisible by the number (28) 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 276426567648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516028423680).

276426567648 is an abundant number, since it is smaller than the sum of its proper divisors (755630279712).

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

276426567648 is a wasteful number, since it uses less digits than its factorization.

276426567648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7228 (or 7203 counting only the distinct ones).

The product of its digits is 162570240, while the sum is 63.

The spelling of 276426567648 in words is "two hundred seventy-six billion, four hundred twenty-six million, five hundred sixty-seven thousand, six hundred forty-eight".