1351642646760 has 256 divisors, whose sum is σ = 4646279577600. Its totient is φ = 308143180800.

The previous prime is 1351642646747. The next prime is 1351642646819. The reversal of 1351642646760 is 676462461531.

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, 978741270 + ... + 978742650.

It is an arithmetic number, because the mean of its divisors is an integer number (18149529600).

Almost surely, 2^{1351642646760} is an apocalyptic number.

1351642646760 is a gapful number since it is divisible by the number (10) 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 1351642646760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2323139788800).

1351642646760 is an abundant number, since it is smaller than the sum of its proper divisors (3294636930840).

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

1351642646760 is a wasteful number, since it uses less digits than its factorization.

1351642646760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3592 (or 3588 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 1351642646760 in words is "one trillion, three hundred fifty-one billion, six hundred forty-two million, six hundred forty-six thousand, seven hundred sixty".