7400948788996 has 192 divisors, whose sum is σ = 15689111961600. Its totient is φ = 3050308800000.

The previous prime is 7400948788991. The next prime is 7400948789011. The reversal of 7400948788996 is 6998878490047.

It is not an unprimeable number, because it can be changed into a prime (7400948788991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8400622476 + ... + 8400623356.

It is an arithmetic number, because the mean of its divisors is an integer number (81714124800).

Almost surely, 2^{7400948788996} 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 7400948788996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7844555980800).

7400948788996 is an abundant number, since it is smaller than the sum of its proper divisors (8288163172604).

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

7400948788996 is a wasteful number, since it uses less digits than its factorization.

7400948788996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1951 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 1755758592, while the sum is 79.

The spelling of 7400948788996 in words is "seven trillion, four hundred billion, nine hundred forty-eight million, seven hundred eighty-eight thousand, nine hundred ninety-six".