1000616768640 has 1344 divisors, whose sum is σ = 3924376321320. Its totient is φ = 243656294400.

The previous prime is 1000616768633. The next prime is 1000616768659. The reversal of 1000616768640 is 468676160001.

It can be written as a sum of positive squares in 12 ways, for example, as 24681024 + 1000592087616 = 4968^2 + 1000296^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 5528269350 + ... + 5528269530.

Almost surely, 2^{1000616768640} is an apocalyptic number.

1000616768640 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 1000616768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1962188160660).

1000616768640 is an abundant number, since it is smaller than the sum of its proper divisors (2923759552680).

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

1000616768640 is an equidigital number, since it uses as much as digits as its factorization.

1000616768640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 1000616768640 in words is "one trillion, six hundred sixteen million, seven hundred sixty-eight thousand, six hundred forty".