7466552387840 has 972 divisors, whose sum is σ = 23310060694452. Its totient is φ = 2283693834240.

The previous prime is 7466552387839. The next prime is 7466552387843. The reversal of 7466552387840 is 487832556647.

It can be written as a sum of positive squares in 6 ways, for example, as 151215210496 + 7315337177344 = 388864^2 + 2704688^2 .

It is a Harshad number since it is a multiple of its sum of digits (65).

It is not an unprimeable number, because it can be changed into a prime (7466552387843) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 10186292114 + ... + 10186292846.

Almost surely, 2^{7466552387840} is an apocalyptic number.

7466552387840 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 7466552387840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11655030347226).

7466552387840 is an abundant number, since it is smaller than the sum of its proper divisors (15843508306612).

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

7466552387840 is a wasteful number, since it uses less digits than its factorization.

7466552387840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 270950400, while the sum is 65.

The spelling of 7466552387840 in words is "seven trillion, four hundred sixty-six billion, five hundred fifty-two million, three hundred eighty-seven thousand, eight hundred forty".