8097628734720 has 1296 divisors, whose sum is σ = 33918647817600. Its totient is φ = 1849691676672.

The previous prime is 8097628734677. The next prime is 8097628734739. The reversal of 8097628734720 is 274378267908.

8097628734720 is a `hidden beast` number, since 8 + 0 + 9 + 7 + 6 + 287 + 347 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×8097628734720² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5227648506 + ... + 5227650054.

Almost surely, 2^{8097628734720} is an apocalyptic number.

8097628734720 is a gapful number since it is divisible by the number (80) 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 8097628734720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16959323908800).

8097628734720 is an abundant number, since it is smaller than the sum of its proper divisors (25821019082880).

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

8097628734720 is an frugal number, since it uses more digits than its factorization.

8097628734720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1620 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 8097628734720 in words is "eight trillion, ninety-seven billion, six hundred twenty-eight million, seven hundred thirty-four thousand, seven hundred twenty".