623740959354240 has 6912 divisors, whose sum is σ = 2999081618507520. Its totient is φ = 122753109491712.

The previous prime is 623740959354199. The next prime is 623740959354281. The reversal of 623740959354240 is 42453959047326.

623740959354240 is a `hidden beast` number, since 6 + 2 + 3 + 7 + 40 + 9 + 5 + 9 + 3 + 542 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (623740959354199) and next prime (623740959354281).

It is a super-2 number, since 2×623740959354240² (a number of 30 digits) contains 22 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 an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 3826631652399 + ... + 3826631652561.

It is an arithmetic number, because the mean of its divisors is an integer number (433894910085).

Almost surely, 2^{623740959354240} is an apocalyptic number.

623740959354240 is a gapful number since it is divisible by the number (60) 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 623740959354240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499540809253760).

623740959354240 is an abundant number, since it is smaller than the sum of its proper divisors (2375340659153280).

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

623740959354240 is a wasteful number, since it uses less digits than its factorization.

623740959354240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 195955200, while the sum is 63.

The spelling of 623740959354240 in words is "six hundred twenty-three trillion, seven hundred forty billion, nine hundred fifty-nine million, three hundred fifty-four thousand, two hundred forty".