437713480401672 has 128 divisors (see below), whose sum is σ = 1160904739968000. Its totient is φ = 137144259129600.

The previous prime is 437713480401629. The next prime is 437713480401859. The reversal of 437713480401672 is 276104084317734.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53247523 + ... + 60915725.

It is an arithmetic number, because the mean of its divisors is an integer number (9069568281000).

Almost surely, 2^{437713480401672} 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 437713480401672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580452369984000).

437713480401672 is an abundant number, since it is smaller than the sum of its proper divisors (723191259566328).

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

437713480401672 is a wasteful number, since it uses less digits than its factorization.

437713480401672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7669211 (or 7669207 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 57.

The spelling of 437713480401672 in words is "four hundred thirty-seven trillion, seven hundred thirteen billion, four hundred eighty million, four hundred one thousand, six hundred seventy-two".