123764779440 has 640 divisors, whose sum is σ = 469322342400. Its totient is φ = 30233088000.

The previous prime is 123764779403. The next prime is 123764779469. The reversal of 123764779440 is 44977467321.

It is a happy number.

123764779440 is a `hidden beast` number, since 1 + 23 + 76 + 47 + 79 + 440 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 103050840 + ... + 103052040.

It is an arithmetic number, because the mean of its divisors is an integer number (733316160).

Almost surely, 2^123764779440 is an apocalyptic number.

123764779440 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 123764779440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234661171200).

123764779440 is an abundant number, since it is smaller than the sum of its proper divisors (345557562960).

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

123764779440 is a wasteful number, since it uses less digits than its factorization.

123764779440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 123764779440 in words is "one hundred twenty-three billion, seven hundred sixty-four million, seven hundred seventy-nine thousand, four hundred forty".