8742982840704 has 384 divisors, whose sum is σ = 30275253216000. Its totient is φ = 2365820006400.

The previous prime is 8742982840699. The next prime is 8742982840727. The reversal of 8742982840704 is 4070482892478.

8742982840704 is a `hidden beast` number, since 87 + 42 + 98 + 28 + 407 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 712601482 + ... + 712613750.

It is an arithmetic number, because the mean of its divisors is an integer number (78841805250).

Almost surely, 2^{8742982840704} is an apocalyptic number.

8742982840704 is a gapful number since it is divisible by the number (84) 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 8742982840704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15137626608000).

8742982840704 is an abundant number, since it is smaller than the sum of its proper divisors (21532270375296).

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

8742982840704 is a wasteful number, since it uses less digits than its factorization.

8742982840704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16966 (or 16951 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 63.

The spelling of 8742982840704 in words is "eight trillion, seven hundred forty-two billion, nine hundred eighty-two million, eight hundred forty thousand, seven hundred four".