1468677635520 has 448 divisors, whose sum is σ = 4910196326400. Its totient is φ = 371438161920.

The previous prime is 1468677635483. The next prime is 1468677635527. The reversal of 1468677635520 is 255367768641.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1468677635527) 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, 665462257 + ... + 665464463.

Almost surely, 2^{1468677635520} is an apocalyptic number.

1468677635520 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 1468677635520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2455098163200).

1468677635520 is an abundant number, since it is smaller than the sum of its proper divisors (3441518690880).

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

1468677635520 is a wasteful number, since it uses less digits than its factorization.

1468677635520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2696 (or 2686 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 60.

The spelling of 1468677635520 in words is "one trillion, four hundred sixty-eight billion, six hundred seventy-seven million, six hundred thirty-five thousand, five hundred twenty".