6811952991480 has 1536 divisors, whose sum is σ = 29587783680000. Its totient is φ = 1370902579200.

The previous prime is 6811952991479. The next prime is 6811952991491. The reversal of 6811952991480 is 841992591186.

6811952991480 is a `hidden beast` number, since 6 + 8 + 1 + 19 + 52 + 9 + 91 + 480 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1946826771 + ... + 1946830269.

It is an arithmetic number, because the mean of its divisors is an integer number (19262880000).

Almost surely, 2^{6811952991480} is an apocalyptic number.

6811952991480 is a gapful number since it is divisible by the number (60) 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 6811952991480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14793891840000).

6811952991480 is an abundant number, since it is smaller than the sum of its proper divisors (22775830688520).

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

6811952991480 is a wasteful number, since it uses less digits than its factorization.

6811952991480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3647 (or 3631 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 63.

The spelling of 6811952991480 in words is "six trillion, eight hundred eleven billion, nine hundred fifty-two million, nine hundred ninety-one thousand, four hundred eighty".