42765262848 has 896 divisors, whose sum is σ = 165077729280. Its totient is φ = 10749542400.

The previous prime is 42765262807. The next prime is 42765262853. The reversal of 42765262848 is 84826256724.

42765262848 is a `hidden beast` number, since 4 + 2 + 7 + 6 + 5 + 2 + 628 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×42765262848² (a number of 22 digits) contains 22 as substring.

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

Its product of digits (10321920) is a multiple of the sum of its prime factors (96).

It is a junction number, because it is equal to n+sod(n) for n = 42765262794 and 42765262803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1379524593 + ... + 1379524623.

Almost surely, 2^42765262848 is an apocalyptic number.

42765262848 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 42765262848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82538864640).

42765262848 is an abundant number, since it is smaller than the sum of its proper divisors (122312466432).

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

42765262848 is an frugal number, since it uses more digits than its factorization.

42765262848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 54 counting only the distinct ones).

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

The spelling of 42765262848 in words is "forty-two billion, seven hundred sixty-five million, two hundred sixty-two thousand, eight hundred forty-eight".