7382860188480 has 1120 divisors, whose sum is σ = 31833146188800. Its totient is φ = 1585560158208.

The previous prime is 7382860188427. The next prime is 7382860188493. The reversal of 7382860188480 is 848810682837.

7382860188480 is a `hidden beast` number, since 7 + 3 + 82 + 8 + 60 + 18 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×7382860188480² (a number of 27 digits) contains 22 as substring.

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 159 ways as a sum of consecutive naturals, for example, 2217739456 + ... + 2217742784.

Almost surely, 2^{7382860188480} is an apocalyptic number.

7382860188480 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 7382860188480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15916573094400).

7382860188480 is an abundant number, since it is smaller than the sum of its proper divisors (24450286000320).

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

7382860188480 is a wasteful number, since it uses less digits than its factorization.

7382860188480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4101 (or 4082 counting only the distinct ones).

The product of its (nonzero) digits is 33030144, while the sum is 63.

The spelling of 7382860188480 in words is "seven trillion, three hundred eighty-two billion, eight hundred sixty million, one hundred eighty-eight thousand, four hundred eighty".