1642437256736 has 96 divisors (see below), whose sum is σ = 3497470441920. Its totient is φ = 756592358400.

The previous prime is 1642437256729. The next prime is 1642437256771. The reversal of 1642437256736 is 6376527342461.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47921846 + ... + 47956106.

It is an arithmetic number, because the mean of its divisors is an integer number (36431983770).

Almost surely, 2^{1642437256736} is an apocalyptic number.

1642437256736 is a gapful number since it is divisible by the number (16) 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 1642437256736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748735220960).

1642437256736 is an abundant number, since it is smaller than the sum of its proper divisors (1855033185184).

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

1642437256736 is a wasteful number, since it uses less digits than its factorization.

1642437256736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36458 (or 36450 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 56.

The spelling of 1642437256736 in words is "one trillion, six hundred forty-two billion, four hundred thirty-seven million, two hundred fifty-six thousand, seven hundred thirty-six".