672071040000 has 1760 divisors, whose sum is σ = 2762565696000. Its totient is φ = 160579584000.

The previous prime is 672071039953. The next prime is 672071040001. The reversal of 672071040000 is 40170276.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (672071040001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7551359956 + ... + 7551360044.

It is an arithmetic number, because the mean of its divisors is an integer number (1569639600).

Almost surely, 2^672071040000 is an apocalyptic number.

672071040000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 672071040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381282848000).

672071040000 is an abundant number, since it is smaller than the sum of its proper divisors (2090494656000).

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

672071040000 is a wasteful number, since it uses less digits than its factorization.

672071040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 672071040000 in words is "six hundred seventy-two billion, seventy-one million, forty thousand".