672234142536 has 384 divisors, whose sum is σ = 2191565376000. Its totient is φ = 183893068800.

The previous prime is 672234142513. The next prime is 672234142553. The reversal of 672234142536 is 635241432276.

672234142536 is a `hidden beast` number, since 6 + 7 + 223 + 414 + 2 + 5 + 3 + 6 = 666.

It is a super-2 number, since 2×672234142536² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 672234142491 and 672234142500.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26516955 + ... + 26542293.

It is an arithmetic number, because the mean of its divisors is an integer number (5707201500).

Almost surely, 2^672234142536 is an apocalyptic number.

672234142536 is a gapful number since it is divisible by the number (66) 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 672234142536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095782688000).

672234142536 is an abundant number, since it is smaller than the sum of its proper divisors (1519331233464).

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

672234142536 is a wasteful number, since it uses less digits than its factorization.

672234142536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25465 (or 25458 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The spelling of 672234142536 in words is "six hundred seventy-two billion, two hundred thirty-four million, one hundred forty-two thousand, five hundred thirty-six".