1020646344960 has 1296 divisors, whose sum is σ = 4118074990848. Its totient is φ = 241745264640.

The previous prime is 1020646344917. The next prime is 1020646344967. The reversal of 1020646344960 is 694436460201.

1020646344960 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 6 + 4 + 634 + 4 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-3 number, since 3×1020646344960³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1020646344967) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1768884192 + ... + 1768884768.

Almost surely, 2^{1020646344960} is an apocalyptic number.

1020646344960 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 1020646344960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059037495424).

1020646344960 is an abundant number, since it is smaller than the sum of its proper divisors (3097428645888).

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

1020646344960 is an equidigital number, since it uses as much as digits as its factorization.

1020646344960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 1020646344960 in words is "one trillion, twenty billion, six hundred forty-six million, three hundred forty-four thousand, nine hundred sixty".