123264620640 has 480 divisors, whose sum is σ = 514321980480. Its totient is φ = 27202646016.

The previous prime is 123264620623. The next prime is 123264620657. The reversal of 123264620640 is 46026462321.

123264620640 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 6 + 4 + 6 + 2 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (123264620623) and next prime (123264620657).

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×123264620640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 123264620595 and 123264620604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2607454 + ... + 2654306.

It is an arithmetic number, because the mean of its divisors is an integer number (1071504126).

Almost surely, 2^123264620640 is an apocalyptic number.

123264620640 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 123264620640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257160990240).

123264620640 is an abundant number, since it is smaller than the sum of its proper divisors (391057359840).

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

123264620640 is a wasteful number, since it uses less digits than its factorization.

123264620640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46916 (or 46899 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 123264620640 in words is "one hundred twenty-three billion, two hundred sixty-four million, six hundred twenty thousand, six hundred forty".