1352496680640 has 336 divisors, whose sum is σ = 5429723000832. Its totient is φ = 302564395008.

The previous prime is 1352496680621. The next prime is 1352496680651. The reversal of 1352496680640 is 460866942531.

1352496680640 is a `hidden beast` number, since 1 + 3 + 52 + 496 + 68 + 0 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×1352496680640² (a number of 25 digits) contains 22 as substring.

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, 233817 + ... + 1661223.

Almost surely, 2^{1352496680640} is an apocalyptic number.

1352496680640 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 1352496680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2714861500416).

1352496680640 is an abundant number, since it is smaller than the sum of its proper divisors (4077226320192).

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

1352496680640 is a wasteful number, since it uses less digits than its factorization.

1352496680640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1427484 (or 1427471 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

It can be divided in two parts, 1352496 and 680640, that added together give a triangular number (2033136 = T₂₀₁₆).

The spelling of 1352496680640 in words is "one trillion, three hundred fifty-two billion, four hundred ninety-six million, six hundred eighty thousand, six hundred forty".