10042868637648 has 480 divisors, whose sum is σ = 35408006599680. Its totient is φ = 2581317365760.

The previous prime is 10042868637511. The next prime is 10042868637649. The reversal of 10042868637648 is 84673686824001.

10042868637648 is a `hidden beast` number, since 100 + 4 + 2 + 86 + 86 + 376 + 4 + 8 = 666.

It is a super-3 number, since 3×10042868637648³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042868637649) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 825684015 + ... + 825696177.

It is an arithmetic number, because the mean of its divisors is an integer number (73766680416).

Almost surely, 2^{10042868637648} is an apocalyptic number.

10042868637648 is a gapful number since it is divisible by the number (18) 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 10042868637648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17704003299840).

10042868637648 is an abundant number, since it is smaller than the sum of its proper divisors (25365137962032).

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

10042868637648 is a wasteful number, since it uses less digits than its factorization.

10042868637648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12967 (or 12958 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 10042868637648 in words is "ten trillion, forty-two billion, eight hundred sixty-eight million, six hundred thirty-seven thousand, six hundred forty-eight".