7478175947940 has 288 divisors, whose sum is σ = 24264448266240. Its totient is φ = 1857647996928.

The previous prime is 7478175947933. The next prime is 7478175948011. The reversal of 7478175947940 is 497495718747.

It is a happy number.

7478175947940 is a `hidden beast` number, since 7 + 4 + 7 + 81 + 75 + 9 + 479 + 4 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 705682722 + ... + 705693318.

It is an arithmetic number, because the mean of its divisors is an integer number (84251556480).

Almost surely, 2^{7478175947940} 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 7478175947940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12132224133120).

7478175947940 is an abundant number, since it is smaller than the sum of its proper divisors (16786272318300).

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

7478175947940 is a wasteful number, since it uses less digits than its factorization.

7478175947940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12971 (or 12966 counting only the distinct ones).

The product of its (nonzero) digits is 497871360, while the sum is 72.

The spelling of 7478175947940 in words is "seven trillion, four hundred seventy-eight billion, one hundred seventy-five million, nine hundred forty-seven thousand, nine hundred forty".