276996629664 has 384 divisors, whose sum is σ = 877147729920. Its totient is φ = 84710043648.

The previous prime is 276996629603. The next prime is 276996629671. The reversal of 276996629664 is 466926699672.

It is a happy number.

276996629664 is a `hidden beast` number, since 276 + 9 + 9 + 6 + 6 + 296 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 276996629592 and 276996629601.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 211932499 + ... + 211933805.

It is an arithmetic number, because the mean of its divisors is an integer number (2284238880).

Almost surely, 2^276996629664 is an apocalyptic number.

276996629664 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 276996629664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438573864960).

276996629664 is an abundant number, since it is smaller than the sum of its proper divisors (600151100256).

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

276996629664 is a wasteful number, since it uses less digits than its factorization.

276996629664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1697 (or 1683 counting only the distinct ones).

The product of its digits is 634894848, while the sum is 72.

The spelling of 276996629664 in words is "two hundred seventy-six billion, nine hundred ninety-six million, six hundred twenty-nine thousand, six hundred sixty-four".