1642611342736 has 225 divisors, whose sum is σ = 4028340076449. Its totient is φ = 648532370304.

The previous prime is 1642611342689. The next prime is 1642611342857. The reversal of 1642611342736 is 6372431162461.

The square root of 1642611342736 is 1281644.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 242989843600 + 1399621499136 = 492940^2 + 1183056^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3265628661 + ... + 3265629163.

Almost surely, 2^{1642611342736} is an apocalyptic number.

1642611342736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1642611342736 is the 1281644-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1642611342736

1642611342736 is an abundant number, since it is smaller than the sum of its proper divisors (2385728733713).

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

1642611342736 is an frugal number, since it uses more digits than its factorization.

1642611342736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068 (or 525 counting only the distinct ones).

The product of its digits is 870912, while the sum is 46.

The spelling of 1642611342736 in words is "one trillion, six hundred forty-two billion, six hundred eleven million, three hundred forty-two thousand, seven hundred thirty-six".