30426485760 has 1056 divisors, whose sum is σ = 127021426560. Its totient is φ = 6877347840.

The previous prime is 30426485741. The next prime is 30426485779. The reversal of 30426485760 is 6758462403.

30426485760 is a `hidden beast` number, since 30 + 4 + 2 + 6 + 48 + 576 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (30426485741) and next prime (30426485779).

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 284359627 + ... + 284359733.

Almost surely, 2^30426485760 is an apocalyptic number.

30426485760 is a gapful number since it is divisible by the number (30) 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 30426485760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63510713280).

30426485760 is an abundant number, since it is smaller than the sum of its proper divisors (96594940800).

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

30426485760 is a wasteful number, since it uses less digits than its factorization.

30426485760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 30426485760 in words is "thirty billion, four hundred twenty-six million, four hundred eighty-five thousand, seven hundred sixty".