7186940006400 has 3744 divisors, whose sum is σ = 34640252215296. Its totient is φ = 1445216256000.

The previous prime is 7186940006383. The next prime is 7186940006437. The reversal of 7186940006400 is 46000496817.

7186940006400 is a `hidden beast` number, since 7 + 186 + 9 + 400 + 0 + 64 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 231836774385 + ... + 231836774415.

Almost surely, 2^{7186940006400} is an apocalyptic number.

7186940006400 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 7186940006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17320126107648).

7186940006400 is an abundant number, since it is smaller than the sum of its proper divisors (27453312208896).

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

7186940006400 is an equidigital number, since it uses as much as digits as its factorization.

7186940006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 7186940006400 in words is "seven trillion, one hundred eighty-six billion, nine hundred forty million, six thousand, four hundred".