623954878525440 has 3744 divisors, whose sum is σ = 2779275730323456. Its totient is φ = 126711889920000.

The previous prime is 623954878525423. The next prime is 623954878525463. The reversal of 623954878525440 is 44525878459326.

623954878525440 is a `hidden beast` number, since 6 + 2 + 3 + 9 + 5 + 4 + 8 + 78 + 5 + 2 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2006285782885 + ... + 2006285783195.

It is an arithmetic number, because the mean of its divisors is an integer number (742327919424).

Almost surely, 2^{623954878525440} is an apocalyptic number.

623954878525440 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 623954878525440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389637865161728).

623954878525440 is an abundant number, since it is smaller than the sum of its proper divisors (2155320851798016).

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

623954878525440 is a wasteful number, since it uses less digits than its factorization.

623954878525440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 2322432000, while the sum is 72.

The spelling of 623954878525440 in words is "six hundred twenty-three trillion, nine hundred fifty-four billion, eight hundred seventy-eight million, five hundred twenty-five thousand, four hundred forty".