1260049766976 has 1792 divisors, whose sum is σ = 5347422904320. Its totient is φ = 279965859840.

The previous prime is 1260049766957. The next prime is 1260049766981. The reversal of 1260049766976 is 6796679400621.

1260049766976 is a `hidden beast` number, since 12 + 6 + 0 + 0 + 497 + 6 + 69 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 2146592155 + ... + 2146592741.

It is an arithmetic number, because the mean of its divisors is an integer number (2984052960).

Almost surely, 2^{1260049766976} is an apocalyptic number.

1260049766976 is a gapful number since it is divisible by the number (16) 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 1260049766976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2673711452160).

1260049766976 is an abundant number, since it is smaller than the sum of its proper divisors (4087373137344).

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

1260049766976 is a wasteful number, since it uses less digits than its factorization.

1260049766976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 1260049766976 in words is "one trillion, two hundred sixty billion, forty-nine million, seven hundred sixty-six thousand, nine hundred seventy-six".