1307219213664 has 576 divisors, whose sum is σ = 4798247086080. Its totient is φ = 343182873600.

The previous prime is 1307219213659. The next prime is 1307219213771. The reversal of 1307219213664 is 4663129127031.

1307219213664 is a `hidden beast` number, since 1 + 30 + 72 + 192 + 1 + 366 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 122726739 + ... + 122737389.

It is an arithmetic number, because the mean of its divisors is an integer number (8330290080).

Almost surely, 2^{1307219213664} is an apocalyptic number.

1307219213664 is a gapful number since it is divisible by the number (14) 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 1307219213664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2399123543040).

1307219213664 is an abundant number, since it is smaller than the sum of its proper divisors (3491027872416).

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

1307219213664 is a wasteful number, since it uses less digits than its factorization.

1307219213664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10920 (or 10899 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 1307219213664 in words is "one trillion, three hundred seven billion, two hundred nineteen million, two hundred thirteen thousand, six hundred sixty-four".