123636042662640 has 320 divisors, whose sum is σ = 407718518630400. Its totient is φ = 30884912087040.

The previous prime is 123636042662633. The next prime is 123636042662647. The reversal of 123636042662640 is 46266240636321.

It is an interprime number because it is at equal distance from previous prime (123636042662633) and next prime (123636042662647).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123636042662647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3724072761 + ... + 3724105959.

It is an arithmetic number, because the mean of its divisors is an integer number (1274120370720).

Almost surely, 2^{123636042662640} is an apocalyptic number.

123636042662640 is a gapful number since it is divisible by the number (10) 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 123636042662640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203859259315200).

123636042662640 is an abundant number, since it is smaller than the sum of its proper divisors (284082475967760).

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

123636042662640 is a wasteful number, since it uses less digits than its factorization.

123636042662640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37480 (or 37474 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 51.

The spelling of 123636042662640 in words is "one hundred twenty-three trillion, six hundred thirty-six billion, forty-two million, six hundred sixty-two thousand, six hundred forty".