30378610690560 has 640 divisors, whose sum is σ = 120588389349120. Its totient is φ = 7184882073600.

The previous prime is 30378610690559. The next prime is 30378610690573. The reversal of 30378610690560 is 6509601687303.

30378610690560 is a `hidden beast` number, since 3 + 0 + 3 + 7 + 8 + 6 + 10 + 69 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×30378610690560² (a number of 28 digits) contains 22 as substring.

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 = 30378610690497 and 30378610690506.

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, 30685864 + ... + 31660376.

It is an arithmetic number, because the mean of its divisors is an integer number (188419358358).

Almost surely, 2^{30378610690560} is an apocalyptic number.

30378610690560 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 30378610690560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60294194674560).

30378610690560 is an abundant number, since it is smaller than the sum of its proper divisors (90209778658560).

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

30378610690560 is a wasteful number, since it uses less digits than its factorization.

30378610690560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974597 (or 974575 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 30378610690560 in words is "thirty trillion, three hundred seventy-eight billion, six hundred ten million, six hundred ninety thousand, five hundred sixty".