437679099972 has 96 divisors (see below), whose sum is σ = 1167327383040. Its totient is φ = 141746446080.

The previous prime is 437679099971. The next prime is 437679099973. The reversal of 437679099972 is 279990976734.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (437679099971) and next prime (437679099973).

It is a self number, because there is not a number n which added to its sum of digits gives 437679099972.

It is not an unprimeable number, because it can be changed into a prime (437679099971) 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, 380722 + ... + 1010102.

It is an arithmetic number, because the mean of its divisors is an integer number (12159660240).

Almost surely, 2^437679099972 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 437679099972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583663691520).

437679099972 is an abundant number, since it is smaller than the sum of its proper divisors (729648283068).

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

437679099972 is a wasteful number, since it uses less digits than its factorization.

437679099972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629578 (or 629570 counting only the distinct ones).

The product of its (nonzero) digits is 324060912, while the sum is 72.

The spelling of 437679099972 in words is "four hundred thirty-seven billion, six hundred seventy-nine million, ninety-nine thousand, nine hundred seventy-two".