276282800640 has 2560 divisors, whose sum is σ = 1332737556480. Its totient is φ = 52553318400.

The previous prime is 276282800623. The next prime is 276282800687. The reversal of 276282800640 is 46008282672.

It is a tau number, because it is divible by the number of its divisors (2560).

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4529226210 + ... + 4529226270.

It is an arithmetic number, because the mean of its divisors is an integer number (520600608).

Almost surely, 2^276282800640 is an apocalyptic number.

276282800640 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 276282800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666368778240).

276282800640 is an abundant number, since it is smaller than the sum of its proper divisors (1056454755840).

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

276282800640 is a wasteful number, since it uses less digits than its factorization.

276282800640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 276282800640 in words is "two hundred seventy-six billion, two hundred eighty-two million, eight hundred thousand, six hundred forty".