1062263204640 has 144 divisors (see below), whose sum is σ = 3954516261696. Its totient is φ = 257518348800.

The previous prime is 1062263204591. The next prime is 1062263204689. The reversal of 1062263204640 is 464023622601.

1062263204640 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 2 + 6 + 3 + 2 + 0 + 4 + 640 = 666.

1062263204640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1062263204591) and next prime (1062263204689).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×1062263204640³ (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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 1062263204595 and 1062263204604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33515196 + ... + 33546875.

It is an arithmetic number, because the mean of its divisors is an integer number (27461918484).

Almost surely, 2^{1062263204640} is an apocalyptic number.

1062263204640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1062263204640 is an abundant number, since it is smaller than the sum of its proper divisors (2892253057056).

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

1062263204640 is a wasteful number, since it uses less digits than its factorization.

1062263204640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67062103 (or 67062092 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 1062263204640 in words is "one trillion, sixty-two billion, two hundred sixty-three million, two hundred four thousand, six hundred forty".