7082637081408 has 504 divisors, whose sum is σ = 24680428753344. Its totient is φ = 1974220646400.

The previous prime is 7082637081383. The next prime is 7082637081419. The reversal of 7082637081408 is 8041807362807.

It is a happy number.

7082637081408 is a `hidden beast` number, since 70 + 8 + 26 + 3 + 70 + 81 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 71 ways as a sum of consecutive naturals, for example, 120483063 + ... + 120541833.

Almost surely, 2^{7082637081408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7082637081408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12340214376672).

7082637081408 is an abundant number, since it is smaller than the sum of its proper divisors (17597791671936).

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

7082637081408 is an frugal number, since it uses more digits than its factorization.

7082637081408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58855 (or 58824 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 7082637081408 in words is "seven trillion, eighty-two billion, six hundred thirty-seven million, eighty-one thousand, four hundred eight".