7006733280 has 240 divisors, whose sum is σ = 25136141184. Its totient is φ = 1837624320.

The previous prime is 7006733249. The next prime is 7006733281. The reversal of 7006733280 is 823376007.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×7006733280² = 98188622514119116800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7006733281) 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 39 ways as a sum of consecutive naturals, for example, 786129 + ... + 794991.

Almost surely, 2^7006733280 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 7006733280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12568070592).

7006733280 is an abundant number, since it is smaller than the sum of its proper divisors (18129407904).

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

7006733280 is a wasteful number, since it uses less digits than its factorization.

7006733280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8951 (or 8934 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 7006733280 is about 83706.2320260565. The cubic root of 7006733280 is about 1913.5443338980.

The spelling of 7006733280 in words is "seven billion, six million, seven hundred thirty-three thousand, two hundred eighty".