623076480000 has 1320 divisors, whose sum is σ = 2482510598568. Its totient is φ = 149520384000.

The previous prime is 623076479983. The next prime is 623076480017. The reversal of 623076480000 is 84670326.

623076480000 is a `hidden beast` number, since 6 + 2 + 3 + 0 + 7 + 648 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (623076479983) and next prime (623076480017).

It can be written as a sum of positive squares in 20 ways, for example, as 619230495744 + 3845984256 = 786912^2 + 62016^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3968639922 + ... + 3968640078.

Almost surely, 2^623076480000 is an apocalyptic number.

623076480000 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 623076480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241255299284).

623076480000 is an abundant number, since it is smaller than the sum of its proper divisors (1859434118568).

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

623076480000 is a wasteful number, since it uses less digits than its factorization.

623076480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 623076480000 in words is "six hundred twenty-three billion, seventy-six million, four hundred eighty thousand".