8454508997760 has 1024 divisors, whose sum is σ = 35591836262400. Its totient is φ = 1856505692160.

The previous prime is 8454508997749. The next prime is 8454508997773. The reversal of 8454508997760 is 677998054548.

8454508997760 is a `hidden beast` number, since 8 + 4 + 5 + 450 + 89 + 97 + 7 + 6 + 0 = 666.

It is a super-4 number, since 4×8454508997760⁴ (a number of 53 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 317264757 + ... + 317291403.

It is an arithmetic number, because the mean of its divisors is an integer number (34757652600).

Almost surely, 2^{8454508997760} is an apocalyptic number.

8454508997760 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 8454508997760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17795918131200).

8454508997760 is an abundant number, since it is smaller than the sum of its proper divisors (27137327264640).

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

8454508997760 is a wasteful number, since it uses less digits than its factorization.

8454508997760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26786 (or 26768 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 72.

The spelling of 8454508997760 in words is "eight trillion, four hundred fifty-four billion, five hundred eight million, nine hundred ninety-seven thousand, seven hundred sixty".