8927625263040 has 1120 divisors, whose sum is σ = 35785761840576. Its totient is φ = 2094090485760.

The previous prime is 8927625262999. The next prime is 8927625263077. The reversal of 8927625263040 is 403625267298.

8927625263040 is a `hidden beast` number, since 8 + 9 + 2 + 7 + 625 + 2 + 6 + 3 + 0 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1103125234 + ... + 1103133326.

Almost surely, 2^{8927625263040} is an apocalyptic number.

8927625263040 is a gapful number since it is divisible by the number (80) 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 8927625263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17892880920288).

8927625263040 is an abundant number, since it is smaller than the sum of its proper divisors (26858136577536).

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

8927625263040 is a wasteful number, since it uses less digits than its factorization.

8927625263040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8259 (or 8240 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 8927625263040 in words is "eight trillion, nine hundred twenty-seven billion, six hundred twenty-five million, two hundred sixty-three thousand, forty".