1076332257792 has 640 divisors, whose sum is σ = 3599975301120. Its totient is φ = 314696171520.

The previous prime is 1076332257773. The next prime is 1076332257799. The reversal of 1076332257792 is 2977522336701.

It is a happy number.

1076332257792 is a `hidden beast` number, since 1 + 0 + 7 + 63 + 3 + 2 + 2 + 577 + 9 + 2 = 666.

It is a super-2 number, since 2×1076332257792² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1076332257799) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 521730553 + ... + 521732615.

It is an arithmetic number, because the mean of its divisors is an integer number (5624961408).

Almost surely, 2^{1076332257792} is an apocalyptic number.

1076332257792 is a gapful number since it is divisible by the number (12) 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 1076332257792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799987650560).

1076332257792 is an abundant number, since it is smaller than the sum of its proper divisors (2523643043328).

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

1076332257792 is a wasteful number, since it uses less digits than its factorization.

1076332257792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2221 (or 2199 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The spelling of 1076332257792 in words is "one trillion, seventy-six billion, three hundred thirty-two million, two hundred fifty-seven thousand, seven hundred ninety-two".