276078046464 has 432 divisors, whose sum is σ = 912104094720. Its totient is φ = 82584852480.

The previous prime is 276078046381. The next prime is 276078046469. The reversal of 276078046464 is 464640870672.

276078046464 is a `hidden beast` number, since 2 + 7 + 60 + 7 + 80 + 46 + 464 = 666.

276078046464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a self number, because there is not a number n which added to its sum of digits gives 276078046464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (276078046469) 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, 54056199 + ... + 54061305.

Almost surely, 2^276078046464 is an apocalyptic number.

276078046464 is a gapful number since it is divisible by the number (24) 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 276078046464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456052047360).

276078046464 is an abundant number, since it is smaller than the sum of its proper divisors (636026048256).

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

276078046464 is an equidigital number, since it uses as much as digits as its factorization.

276078046464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5228 (or 5202 counting only the distinct ones).

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

The spelling of 276078046464 in words is "two hundred seventy-six billion, seventy-eight million, forty-six thousand, four hundred sixty-four".