7401470611680 has 144 divisors (see below), whose sum is σ = 25258588009200. Its totient is φ = 1973641918464.

The previous prime is 7401470611649. The next prime is 7401470611721. The reversal of 7401470611680 is 861160741047.

7401470611680 is a `hidden beast` number, since 7 + 40 + 1 + 470 + 61 + 1 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 38716971 + ... + 38907669.

It is an arithmetic number, because the mean of its divisors is an integer number (175406861175).

Almost surely, 2^{7401470611680} is an apocalyptic number.

It is an amenable number.

7401470611680 is an abundant number, since it is smaller than the sum of its proper divisors (17857117397520).

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

7401470611680 is a wasteful number, since it uses less digits than its factorization.

7401470611680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217673 (or 217662 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 7401470611680 in words is "seven trillion, four hundred one billion, four hundred seventy million, six hundred eleven thousand, six hundred eighty".