7382647027140 has 576 divisors, whose sum is σ = 26417742962688. Its totient is φ = 1523249280000.

The previous prime is 7382647027127. The next prime is 7382647027141. The reversal of 7382647027140 is 417207462837.

It is not an unprimeable number, because it can be changed into a prime (7382647027141) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4784605209 + ... + 4784606751.

It is an arithmetic number, because the mean of its divisors is an integer number (45864137088).

Almost surely, 2^{7382647027140} is an apocalyptic number.

7382647027140 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 7382647027140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13208871481344).

7382647027140 is an abundant number, since it is smaller than the sum of its proper divisors (19035095935548).

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

7382647027140 is a wasteful number, since it uses less digits than its factorization.

7382647027140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2528 (or 2519 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 51.

The spelling of 7382647027140 in words is "seven trillion, three hundred eighty-two billion, six hundred forty-seven million, twenty-seven thousand, one hundred forty".