1076045623632 has 300 divisors, whose sum is σ = 3666526639776. Its totient is φ = 303736003200.

The previous prime is 1076045623621. The next prime is 1076045623633. The reversal of 1076045623632 is 2363265406701.

1076045623632 is a `hidden beast` number, since 1 + 0 + 7 + 6 + 0 + 4 + 5 + 6 + 2 + 3 + 632 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1076045623633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5168757 + ... + 5372907.

Almost surely, 2^{1076045623632} is an apocalyptic number.

1076045623632 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 1076045623632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1833263319888).

1076045623632 is an abundant number, since it is smaller than the sum of its proper divisors (2590481016144).

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

1076045623632 is a wasteful number, since it uses less digits than its factorization.

1076045623632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204268 (or 204246 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

It can be divided in two parts, 107604 and 5623632, that added together give a square (5731236 = 2394²).

The spelling of 1076045623632 in words is "one trillion, seventy-six billion, forty-five million, six hundred twenty-three thousand, six hundred thirty-two".