7384536391680 has 2688 divisors, whose sum is σ = 32703508684800. Its totient is φ = 1573159698432.

The previous prime is 7384536391679. The next prime is 7384536391703. The reversal of 7384536391680 is 861936354837.

7384536391680 is a `hidden beast` number, since 7 + 3 + 8 + 4 + 536 + 3 + 9 + 16 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

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

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 58145955777 + ... + 58145955903.

Almost surely, 2^{7384536391680} is an apocalyptic number.

7384536391680 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 7384536391680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16351754342400).

7384536391680 is an abundant number, since it is smaller than the sum of its proper divisors (25318972293120).

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

7384536391680 is a wasteful number, since it uses less digits than its factorization.

7384536391680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 7384536391680 in words is "seven trillion, three hundred eighty-four billion, five hundred thirty-six million, three hundred ninety-one thousand, six hundred eighty".