123997760640 has 1152 divisors, whose sum is σ = 503175628800. Its totient is φ = 28017819648.

The previous prime is 123997760639. The next prime is 123997760647. The reversal of 123997760640 is 46067799321.

It is a happy number.

123997760640 is a `hidden beast` number, since 1 + 23 + 9 + 9 + 7 + 7 + 606 + 4 + 0 = 666.

123997760640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (123997760647) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 976360257 + ... + 976360383.

It is an arithmetic number, because the mean of its divisors is an integer number (436784400).

Almost surely, 2^123997760640 is an apocalyptic number.

123997760640 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 123997760640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251587814400).

123997760640 is an abundant number, since it is smaller than the sum of its proper divisors (379177868160).

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

123997760640 is a wasteful number, since it uses less digits than its factorization.

123997760640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 123997760640 in words is "one hundred twenty-three billion, nine hundred ninety-seven million, seven hundred sixty thousand, six hundred forty".