87422496006384 has 240 divisors, whose sum is σ = 321086953524480. Its totient is φ = 21512029040640.

The previous prime is 87422496006383. The next prime is 87422496006389. The reversal of 87422496006384 is 48360069422478.

87422496006384 is a `hidden beast` number, since 8 + 7 + 4 + 2 + 2 + 496 + 0 + 0 + 63 + 84 = 666.

87422496006384 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87422496006383) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 207274177 + ... + 207695520.

It is an arithmetic number, because the mean of its divisors is an integer number (1337862306352).

Almost surely, 2^{87422496006384} is an apocalyptic number.

87422496006384 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

87422496006384 is an abundant number, since it is smaller than the sum of its proper divisors (233664457518096).

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

87422496006384 is a wasteful number, since it uses less digits than its factorization.

87422496006384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414969748 (or 414969739 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 63.

The spelling of 87422496006384 in words is "eighty-seven trillion, four hundred twenty-two billion, four hundred ninety-six million, six thousand, three hundred eighty-four".