42024775680 has 468 divisors, whose sum is σ = 152630176608. Its totient is φ = 10694492160.

The previous prime is 42024775651. The next prime is 42024775687. The reversal of 42024775680 is 8657742024.

It is a happy number.

42024775680 is a `hidden beast` number, since 42 + 0 + 2 + 47 + 7 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (42024775687) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 97505065 + ... + 97505495.

It is an arithmetic number, because the mean of its divisors is an integer number (326132856).

Almost surely, 2^42024775680 is an apocalyptic number.

42024775680 is a gapful number since it is divisible by the number (40) 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 42024775680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76315088304).

42024775680 is an abundant number, since it is smaller than the sum of its proper divisors (110605400928).

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

42024775680 is a wasteful number, since it uses less digits than its factorization.

42024775680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 42024775680 in words is "forty-two billion, twenty-four million, seven hundred seventy-five thousand, six hundred eighty".