1337705964672 has 768 divisors, whose sum is σ = 4900057804800. Its totient is φ = 318521548800.

The previous prime is 1337705964671. The next prime is 1337705964743. The reversal of 1337705964672 is 2764695077331.

It is a super-2 number, since 2×1337705964672² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1337705964671) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 121903378 + ... + 121914350.

It is an arithmetic number, because the mean of its divisors is an integer number (6380283600).

Almost surely, 2^{1337705964672} is an apocalyptic number.

1337705964672 is a gapful number since it is divisible by the number (12) 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 1337705964672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2450028902400).

1337705964672 is an abundant number, since it is smaller than the sum of its proper divisors (3562351840128).

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

1337705964672 is a wasteful number, since it uses less digits than its factorization.

1337705964672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11065 (or 11046 counting only the distinct ones).

The product of its (nonzero) digits is 40007520, while the sum is 60.

The spelling of 1337705964672 in words is "one trillion, three hundred thirty-seven billion, seven hundred five million, nine hundred sixty-four thousand, six hundred seventy-two".