7340667775560 has 768 divisors, whose sum is σ = 28645286342400. Its totient is φ = 1667211227136.

The previous prime is 7340667775559. The next prime is 7340667775613. The reversal of 7340667775560 is 655777660437.

It is a happy number.

7340667775560 is a `hidden beast` number, since 7 + 3 + 4 + 0 + 6 + 6 + 7 + 77 + 556 + 0 = 666.

It is a super-2 number, since 2×7340667775560² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 191 ways as a sum of consecutive naturals, for example, 7834223412 + ... + 7834224348.

It is an arithmetic number, because the mean of its divisors is an integer number (37298549925).

Almost surely, 2^{7340667775560} is an apocalyptic number.

7340667775560 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 7340667775560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14322643171200).

7340667775560 is an abundant number, since it is smaller than the sum of its proper divisors (21304618566840).

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

7340667775560 is a wasteful number, since it uses less digits than its factorization.

7340667775560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 155584800, while the sum is 63.

The spelling of 7340667775560 in words is "seven trillion, three hundred forty billion, six hundred sixty-seven million, seven hundred seventy-five thousand, five hundred sixty".