30978474430464 has 832 divisors, whose sum is σ = 111590514432000. Its totient is φ = 8370098012160.

The previous prime is 30978474430439. The next prime is 30978474430507. The reversal of 30978474430464 is 46403447487903.

30978474430464 is a `hidden beast` number, since 3 + 0 + 9 + 78 + 4 + 74 + 4 + 30 + 464 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 392893957 + ... + 392972795.

Almost surely, 2^{30978474430464} is an apocalyptic number.

30978474430464 is a gapful number since it is divisible by the number (34) 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 30978474430464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55795257216000).

30978474430464 is an abundant number, since it is smaller than the sum of its proper divisors (80612040001536).

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

30978474430464 is a wasteful number, since it uses less digits than its factorization.

30978474430464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78919 (or 78891 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 63.

The spelling of 30978474430464 in words is "thirty trillion, nine hundred seventy-eight billion, four hundred seventy-four million, four hundred thirty thousand, four hundred sixty-four".