7842439921680 has 3840 divisors, whose sum is σ = 36733578900480. Its totient is φ = 1521657446400.

The previous prime is 7842439921651. The next prime is 7842439921793. The reversal of 7842439921680 is 861299342487.

7842439921680 is a `hidden beast` number, since 7 + 8 + 4 + 24 + 399 + 216 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 128564588850 + ... + 128564588910.

It is an arithmetic number, because the mean of its divisors is an integer number (9566036172).

Almost surely, 2^{7842439921680} is an apocalyptic number.

7842439921680 is a gapful number since it is divisible by the number (70) 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 7842439921680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18366789450240).

7842439921680 is an abundant number, since it is smaller than the sum of its proper divisors (28891138978800).

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

7842439921680 is a wasteful number, since it uses less digits than its factorization.

7842439921680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 7842439921680 in words is "seven trillion, eight hundred forty-two billion, four hundred thirty-nine million, nine hundred twenty-one thousand, six hundred eighty".