8074148006880 has 288 divisors, whose sum is σ = 28040099881248. Its totient is φ = 2115133747200.

The previous prime is 8074148006851. The next prime is 8074148006891. The reversal of 8074148006880 is 886008414708.

8074148006880 is a `hidden beast` number, since 80 + 7 + 4 + 1 + 480 + 0 + 6 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69950815 + ... + 70066145.

It is an arithmetic number, because the mean of its divisors is an integer number (97361457921).

Almost surely, 2^{8074148006880} is an apocalyptic number.

8074148006880 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 8074148006880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14020049940624).

8074148006880 is an abundant number, since it is smaller than the sum of its proper divisors (19965951874368).

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

8074148006880 is a wasteful number, since it uses less digits than its factorization.

8074148006880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116210 (or 116199 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 8074148006880 in words is "eight trillion, seventy-four billion, one hundred forty-eight million, six thousand, eight hundred eighty".