8242076754000 has 800 divisors, whose sum is σ = 30021985648512. Its totient is φ = 2179457280000.

The previous prime is 8242076753927. The next prime is 8242076754031. The reversal of 8242076754000 is 4576702428.

It is a happy number.

8242076754000 is a `hidden beast` number, since 8 + 2 + 42 + 0 + 7 + 67 + 540 + 0 + 0 = 666.

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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 15067781727 + ... + 15067782273.

Almost surely, 2^{8242076754000} is an apocalyptic number.

8242076754000 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 8242076754000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15010992824256).

8242076754000 is an abundant number, since it is smaller than the sum of its proper divisors (21779908894512).

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

8242076754000 is a wasteful number, since it uses less digits than its factorization.

8242076754000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 8242076754000 in words is "eight trillion, two hundred forty-two billion, seventy-six million, seven hundred fifty-four thousand".