7006961664 has 360 divisors, whose sum is σ = 22184569680. Its totient is φ = 2123366400.

The previous prime is 7006961659. The next prime is 7006961669. The reversal of 7006961664 is 4661696007.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7006961659) and next prime (7006961669).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7006961669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114868194 + ... + 114868254.

Almost surely, 2^7006961664 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 7006961664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11092284840).

7006961664 is an abundant number, since it is smaller than the sum of its proper divisors (15177608016).

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

7006961664 is a wasteful number, since it uses less digits than its factorization.

7006961664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 7006961664 is about 83707.5962144416. The cubic root of 7006961664 is about 1913.5651242884.

The spelling of 7006961664 in words is "seven billion, six million, nine hundred sixty-one thousand, six hundred sixty-four".