42672456288 has 1152 divisors, whose sum is σ = 171890933760. Its totient is φ = 10161676800.

The previous prime is 42672456263. The next prime is 42672456329. The reversal of 42672456288 is 88265427624.

42672456288 is a `hidden beast` number, since 4 + 2 + 6 + 7 + 2 + 4 + 5 + 628 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 1376530833 + ... + 1376530863.

It is an arithmetic number, because the mean of its divisors is an integer number (149210880).

Almost surely, 2^42672456288 is an apocalyptic number.

42672456288 is a gapful number since it is divisible by the number (48) 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 42672456288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85945466880).

42672456288 is an abundant number, since it is smaller than the sum of its proper divisors (129218477472).

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

42672456288 is a wasteful number, since it uses less digits than its factorization.

42672456288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 73 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 54.

The spelling of 42672456288 in words is "forty-two billion, six hundred seventy-two million, four hundred fifty-six thousand, two hundred eighty-eight".