1073613864960 has 1920 divisors, whose sum is σ = 4859849111040. Its totient is φ = 224737099776.

The previous prime is 1073613864931. The next prime is 1073613865007. The reversal of 1073613864960 is 694683163701.

It is a happy number.

1073613864960 is a `hidden beast` number, since 1 + 0 + 73 + 6 + 1 + 3 + 86 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a junction number, because it is equal to n+sod(n) for n = 1073613864897 and 1073613864906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8453652417 + ... + 8453652543.

It is an arithmetic number, because the mean of its divisors is an integer number (2531171412).

Almost surely, 2^{1073613864960} is an apocalyptic number.

1073613864960 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 1073613864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2429924555520).

1073613864960 is an abundant number, since it is smaller than the sum of its proper divisors (3786235246080).

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

1073613864960 is an equidigital number, since it uses as much as digits as its factorization.

1073613864960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 1073613864960 in words is "one trillion, seventy-three billion, six hundred thirteen million, eight hundred sixty-four thousand, nine hundred sixty".