30400349598864 has 640 divisors, whose sum is σ = 104041912320000. Its totient is φ = 8491562505216.

The previous prime is 30400349598821. The next prime is 30400349598881. The reversal of 30400349598864 is 46889594300403.

30400349598864 is a `hidden beast` number, since 3 + 0 + 4 + 0 + 0 + 3 + 495 + 9 + 88 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8308374667 + ... + 8308378325.

It is an arithmetic number, because the mean of its divisors is an integer number (162565488000).

Almost surely, 2^{30400349598864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30400349598864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52020956160000).

30400349598864 is an abundant number, since it is smaller than the sum of its proper divisors (73641562721136).

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

30400349598864 is a wasteful number, since it uses less digits than its factorization.

30400349598864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4937 (or 4911 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 30400349598864 in words is "thirty trillion, four hundred billion, three hundred forty-nine million, five hundred ninety-eight thousand, eight hundred sixty-four".