672621012672 has 224 divisors, whose sum is σ = 2078996226048. Its totient is φ = 187921572864.

The previous prime is 672621012629. The next prime is 672621012677. The reversal of 672621012672 is 276210126276.

It is a tau number, because it is divible by the number of its divisors (224).

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 (672621012677) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82556503 + ... + 82564649.

It is an arithmetic number, because the mean of its divisors is an integer number (9281233152).

Almost surely, 2^672621012672 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 672621012672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039498113024).

672621012672 is an abundant number, since it is smaller than the sum of its proper divisors (1406375213376).

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

672621012672 is a wasteful number, since it uses less digits than its factorization.

672621012672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9523 (or 9513 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 672621012672 in words is "six hundred seventy-two billion, six hundred twenty-one million, twelve thousand, six hundred seventy-two".