7461681133200 has 960 divisors, whose sum is σ = 29778354777600. Its totient is φ = 1590828072960.

The previous prime is 7461681133169. The next prime is 7461681133219. The reversal of 7461681133200 is 23311861647.

It is a happy number.

It is a super-2 number, since 2×7461681133200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 790678882 + ... + 790688318.

It is an arithmetic number, because the mean of its divisors is an integer number (31019119560).

Almost surely, 2^{7461681133200} is an apocalyptic number.

7461681133200 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 7461681133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14889177388800).

7461681133200 is an abundant number, since it is smaller than the sum of its proper divisors (22316673644400).

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

7461681133200 is a wasteful number, since it uses less digits than its factorization.

7461681133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9609 (or 9584 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

Adding to 7461681133200 its reverse (23311861647), we get a palindrome (7484992994847).

The spelling of 7461681133200 in words is "seven trillion, four hundred sixty-one billion, six hundred eighty-one million, one hundred thirty-three thousand, two hundred".