672211588355560 has 192 divisors, whose sum is σ = 1677364598604240. Its totient is φ = 242260325683200.

The previous prime is 672211588355513. The next prime is 672211588355561. The reversal of 672211588355560 is 65553885112276.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 283620022004484 + 388591566351076 = 16841022^2 + 19712726^2 .

It is a junction number, because it is equal to n+sod(n) for n = 672211588355492 and 672211588355501.

It is not an unprimeable number, because it can be changed into a prime (672211588355561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 255370284 + ... + 257989156.

Almost surely, 2^{672211588355560} 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 672211588355560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838682299302120).

672211588355560 is an abundant number, since it is smaller than the sum of its proper divisors (1005153010248680).

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

672211588355560 is a wasteful number, since it uses less digits than its factorization.

672211588355560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2619380 (or 2619365 counting only the distinct ones).

The product of its (nonzero) digits is 120960000, while the sum is 64.

The spelling of 672211588355560 in words is "six hundred seventy-two trillion, two hundred eleven billion, five hundred eighty-eight million, three hundred fifty-five thousand, five hundred sixty".