307986965000064 has 1024 divisors, whose sum is σ = 1093194547200000. Its totient is φ = 83506930311168.

The previous prime is 307986965000053. The next prime is 307986965000101. The reversal of 307986965000064 is 460000569689703.

307986965000064 is a `hidden beast` number, since 3 + 0 + 7 + 9 + 8 + 69 + 6 + 500 + 0 + 0 + 64 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 307986964999965 and 307986965000010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12359510997 + ... + 12359535915.

It is an arithmetic number, because the mean of its divisors is an integer number (1067572800000).

Almost surely, 2^{307986965000064} 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 307986965000064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546597273600000).

307986965000064 is an abundant number, since it is smaller than the sum of its proper divisors (785207582199936).

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

307986965000064 is a wasteful number, since it uses less digits than its factorization.

307986965000064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25280 (or 25262 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 307986965000064 in words is "three hundred seven trillion, nine hundred eighty-six billion, nine hundred sixty-five million, sixty-four", and thus it is an aban number.