1073551676400 has 300 divisors, whose sum is σ = 4403304721552. Its totient is φ = 245383188480.

The previous prime is 1073551676399. The next prime is 1073551676413. The reversal of 1073551676400 is 46761553701.

1073551676400 is a `hidden beast` number, since 1 + 0 + 73 + 5 + 516 + 7 + 64 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2139937 + ... + 2593536.

Almost surely, 2^{1073551676400} is an apocalyptic number.

1073551676400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1073551676400 is an abundant number, since it is smaller than the sum of its proper divisors (3329753045152).

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

1073551676400 is a wasteful number, since it uses less digits than its factorization.

1073551676400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4733510 (or 4733490 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 1073551676400 in words is "one trillion, seventy-three billion, five hundred fifty-one million, six hundred seventy-six thousand, four hundred".