1642500901872 has 200 divisors, whose sum is σ = 5012234739600. Its totient is φ = 517839049728.

The previous prime is 1642500901861. The next prime is 1642500901907. The reversal of 1642500901872 is 2781090052461.

1642500901872 is a `hidden beast` number, since 1 + 6 + 42 + 500 + 90 + 18 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15138954 + ... + 15247062.

It is an arithmetic number, because the mean of its divisors is an integer number (25061173698).

Almost surely, 2^{1642500901872} is an apocalyptic number.

1642500901872 is a gapful number since it is divisible by the number (12) 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 1642500901872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2506117369800).

1642500901872 is an abundant number, since it is smaller than the sum of its proper divisors (3369733837728).

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

1642500901872 is a wasteful number, since it uses less digits than its factorization.

1642500901872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108765 (or 108750 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 1642500901872 in words is "one trillion, six hundred forty-two billion, five hundred million, nine hundred one thousand, eight hundred seventy-two".