3535463992560 has 320 divisors, whose sum is σ = 11853816307200. Its totient is φ = 868646301696.

The previous prime is 3535463992559. The next prime is 3535463992561. The reversal of 3535463992560 is 652993645353.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3535463992559) and next prime (3535463992561).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 3535463992494 and 3535463992503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3535463992561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 665935186 + ... + 665940494.

It is an arithmetic number, because the mean of its divisors is an integer number (37043175960).

Almost surely, 2^{3535463992560} is an apocalyptic number.

3535463992560 is a gapful number since it is divisible by the number (30) 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 3535463992560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5926908153600).

3535463992560 is an abundant number, since it is smaller than the sum of its proper divisors (8318352314640).

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

3535463992560 is a wasteful number, since it uses less digits than its factorization.

3535463992560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9328 (or 9322 counting only the distinct ones).

The product of its (nonzero) digits is 78732000, while the sum is 60.

The spelling of 3535463992560 in words is "three trillion, five hundred thirty-five billion, four hundred sixty-three million, nine hundred ninety-two thousand, five hundred sixty".