80574628393728 has 1728 divisors, whose sum is σ = 293387912609792. Its totient is φ = 21569494302720.

The previous prime is 80574628393673. The next prime is 80574628393747. The reversal of 80574628393728 is 82739382647508.

80574628393728 is a `hidden beast` number, since 8 + 0 + 5 + 7 + 462 + 8 + 3 + 93 + 72 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 73718781150 + ... + 73718782242.

Almost surely, 2^{80574628393728} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80574628393728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146693956304896).

80574628393728 is an abundant number, since it is smaller than the sum of its proper divisors (212813284216064).

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

80574628393728 is a wasteful number, since it uses less digits than its factorization.

80574628393728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 80574628393728 in words is "eighty trillion, five hundred seventy-four billion, six hundred twenty-eight million, three hundred ninety-three thousand, seven hundred twenty-eight".