1464305100020 has 192 divisors, whose sum is σ = 3613936435200. Its totient is φ = 487977927168.

The previous prime is 1464305099977. The next prime is 1464305100053. The reversal of 1464305100020 is 200015034641.

It is a congruent number.

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, 751310006 + ... + 751311954.

It is an arithmetic number, because the mean of its divisors is an integer number (18822585600).

Almost surely, 2^{1464305100020} is an apocalyptic number.

1464305100020 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 1464305100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1806968217600).

1464305100020 is an abundant number, since it is smaller than the sum of its proper divisors (2149631335180).

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

1464305100020 is a wasteful number, since it uses less digits than its factorization.

1464305100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2742 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The spelling of 1464305100020 in words is "one trillion, four hundred sixty-four billion, three hundred five million, one hundred thousand, twenty".