7066736640 has 144 divisors (see below), whose sum is σ = 24492358800. Its totient is φ = 1884438528.

The previous prime is 7066736639. The next prime is 7066736641. The reversal of 7066736640 is 466376607.

It is an interprime number because it is at equal distance from previous prime (7066736639) and next prime (7066736641).

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

It is a super-3 number, since 3×7066736640³ (a number of 31 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7066736641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53821 + ... + 130499.

It is an arithmetic number, because the mean of its divisors is an integer number (170085825).

Almost surely, 2^7066736640 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 7066736640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12246179400).

7066736640 is an abundant number, since it is smaller than the sum of its proper divisors (17425622160).

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

7066736640 is a wasteful number, since it uses less digits than its factorization.

7066736640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76712 (or 76689 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The square root of 7066736640 is about 84063.8842785652. The cubic root of 7066736640 is about 1918.9911366526.

The spelling of 7066736640 in words is "seven billion, sixty-six million, seven hundred thirty-six thousand, six hundred forty".