30864391778688 has 384 divisors, whose sum is σ = 91886703068160. Its totient is φ = 9165527654400.

The previous prime is 30864391778663. The next prime is 30864391778723. The reversal of 30864391778688 is 88687719346803.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×30864391778688² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 750371883 + ... + 750413013.

It is an arithmetic number, because the mean of its divisors is an integer number (239288289240).

Almost surely, 2^{30864391778688} 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 30864391778688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45943351534080).

30864391778688 is an abundant number, since it is smaller than the sum of its proper divisors (61022311289472).

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

30864391778688 is a wasteful number, since it uses less digits than its factorization.

30864391778688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41578 (or 41553 counting only the distinct ones).

The product of its (nonzero) digits is 2341011456, while the sum is 78.

The spelling of 30864391778688 in words is "thirty trillion, eight hundred sixty-four billion, three hundred ninety-one million, seven hundred seventy-eight thousand, six hundred eighty-eight".