7944300672 has 512 divisors, whose sum is σ = 28200960000. Its totient is φ = 1919324160.

The previous prime is 7944300641. The next prime is 7944300677. The reversal of 7944300672 is 2760034497.

It is a super-2 number, since 2×7944300672² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (7944300677) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44381479 + ... + 44381657.

It is an arithmetic number, because the mean of its divisors is an integer number (55080000).

Almost surely, 2^7944300672 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 7944300672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14100480000).

7944300672 is an abundant number, since it is smaller than the sum of its proper divisors (20256659328).

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

7944300672 is a wasteful number, since it uses less digits than its factorization.

7944300672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The square root of 7944300672 is about 89130.8065261389. The cubic root of 7944300672 is about 1995.3475751969.

The spelling of 7944300672 in words is "seven billion, nine hundred forty-four million, three hundred thousand, six hundred seventy-two".