7136438307840 has 924 divisors, whose sum is σ = 26064155020176. Its totient is φ = 1873975689216.

The previous prime is 7136438307839. The next prime is 7136438307847. The reversal of 7136438307840 is 487038346317.

7136438307840 is a `hidden beast` number, since 7 + 136 + 438 + 3 + 0 + 78 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (7136438307847) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 42733163437 + ... + 42733163603.

Almost surely, 2^{7136438307840} 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 7136438307840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13032077510088).

7136438307840 is an abundant number, since it is smaller than the sum of its proper divisors (18927716712336).

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

7136438307840 is an equidigital number, since it uses as much as digits as its factorization.

7136438307840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 7136438307840 in words is "seven trillion, one hundred thirty-six billion, four hundred thirty-eight million, three hundred seven thousand, eight hundred forty".