276651648000 has 2376 divisors, whose sum is σ = 1299071315880. Its totient is φ = 56357683200.

The previous prime is 276651647989. The next prime is 276651648017. The reversal of 276651648000 is 846156672.

276651648000 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 266355081216 + 10296566784 = 516096^2 + 101472^2 .

It is a super-2 number, since 2×276651648000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 9539711986 + ... + 9539712014.

Almost surely, 2^276651648000 is an apocalyptic number.

276651648000 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 276651648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649535657940).

276651648000 is an abundant number, since it is smaller than the sum of its proper divisors (1022419667880).

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

276651648000 is a wasteful number, since it uses less digits than its factorization.

276651648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 276651648000 in words is "two hundred seventy-six billion, six hundred fifty-one million, six hundred forty-eight thousand".