425664581760 has 1024 divisors, whose sum is σ = 1772077824000. Its totient is φ = 95451955200.

The previous prime is 425664581753. The next prime is 425664581773. The reversal of 425664581760 is 67185466524.

425664581760 is a `hidden beast` number, since 4 + 2 + 56 + 6 + 4 + 581 + 7 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 425664581697 and 425664581706.

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, 155293990 + ... + 155296730.

It is an arithmetic number, because the mean of its divisors is an integer number (1730544750).

Almost surely, 2^425664581760 is an apocalyptic number.

425664581760 is a gapful number since it is divisible by the number (40) 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 425664581760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886038912000).

425664581760 is an abundant number, since it is smaller than the sum of its proper divisors (1346413242240).

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

425664581760 is a wasteful number, since it uses less digits than its factorization.

425664581760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2842 (or 2824 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 425664581760 in words is "four hundred twenty-five billion, six hundred sixty-four million, five hundred eighty-one thousand, seven hundred sixty".