7492942081800 has 672 divisors, whose sum is σ = 29875405500480. Its totient is φ = 1711276761600.

The previous prime is 7492942081787. The next prime is 7492942081831. The reversal of 7492942081800 is 81802492947.

7492942081800 is a `hidden beast` number, since 7 + 49 + 29 + 420 + 81 + 80 + 0 = 666.

It is a super-2 number, since 2×7492942081800² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1758491670 + ... + 1758495930.

Almost surely, 2^{7492942081800} is an apocalyptic number.

7492942081800 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 7492942081800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14937702750240).

7492942081800 is an abundant number, since it is smaller than the sum of its proper divisors (22382463418680).

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

7492942081800 is a wasteful number, since it uses less digits than its factorization.

7492942081800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6025 (or 6001 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 7492942081800 in words is "seven trillion, four hundred ninety-two billion, nine hundred forty-two million, eighty-one thousand, eight hundred".