7482311940096 has 768 divisors, whose sum is σ = 26877247488000. Its totient is φ = 2009089474560.

The previous prime is 7482311940067. The next prime is 7482311940107. The reversal of 7482311940096 is 6900491132847.

7482311940096 is a `hidden beast` number, since 7 + 482 + 3 + 119 + 40 + 0 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

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 63 ways as a sum of consecutive naturals, for example, 934000731 + ... + 934008741.

It is an arithmetic number, because the mean of its divisors is an integer number (34996416000).

Almost surely, 2^{7482311940096} is an apocalyptic number.

7482311940096 is a gapful number since it is divisible by the number (76) 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 7482311940096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13438623744000).

7482311940096 is an abundant number, since it is smaller than the sum of its proper divisors (19394935547904).

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

7482311940096 is a wasteful number, since it uses less digits than its factorization.

7482311940096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8195 (or 8169 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 7482311940096 in words is "seven trillion, four hundred eighty-two billion, three hundred eleven million, nine hundred forty thousand, ninety-six".