30077360640 has 400 divisors, whose sum is σ = 111226452480. Its totient is φ = 7760240640.

The previous prime is 30077360633. The next prime is 30077360657. The reversal of 30077360640 is 4606377003.

30077360640 is a `hidden beast` number, since 3 + 0 + 0 + 7 + 7 + 3 + 6 + 0 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 30077360595 and 30077360604.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6425821 + ... + 6430499.

Almost surely, 2^30077360640 is an apocalyptic number.

30077360640 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 30077360640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55613226240).

30077360640 is an abundant number, since it is smaller than the sum of its proper divisors (81149091840).

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

30077360640 is an equidigital number, since it uses as much as digits as its factorization.

30077360640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4745 (or 4720 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The spelling of 30077360640 in words is "thirty billion, seventy-seven million, three hundred sixty thousand, six hundred forty".