1076463046560 has 768 divisors, whose sum is σ = 4048089550848. Its totient is φ = 237507379200.

The previous prime is 1076463046553. The next prime is 1076463046567. The reversal of 1076463046560 is 656403646701.

It is an interprime number because it is at equal distance from previous prime (1076463046553) and next prime (1076463046567).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1076463046567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 337765287 + ... + 337768473.

It is an arithmetic number, because the mean of its divisors is an integer number (5270949936).

Almost surely, 2^{1076463046560} is an apocalyptic number.

1076463046560 is a gapful number since it is divisible by the number (10) 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 1076463046560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2024044775424).

1076463046560 is an abundant number, since it is smaller than the sum of its proper divisors (2971626504288).

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

1076463046560 is a wasteful number, since it uses less digits than its factorization.

1076463046560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3357 (or 3349 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 48.

The spelling of 1076463046560 in words is "one trillion, seventy-six billion, four hundred sixty-three million, forty-six thousand, five hundred sixty".