1721667070000 has 400 divisors, whose sum is σ = 4518353664000. Its totient is φ = 633356416000.

The previous prime is 1721667069979. The next prime is 1721667070063. The reversal of 1721667070000 is 707661271.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-4 number, since 4×1721667070000⁴ (a number of 50 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2394529641 + ... + 2394530359.

It is an arithmetic number, because the mean of its divisors is an integer number (11295884160).

Almost surely, 2^{1721667070000} is an apocalyptic number.

1721667070000 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 1721667070000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2259176832000).

1721667070000 is an abundant number, since it is smaller than the sum of its proper divisors (2796686594000).

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

1721667070000 is a wasteful number, since it uses less digits than its factorization.

1721667070000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 37.

The spelling of 1721667070000 in words is "one trillion, seven hundred twenty-one billion, six hundred sixty-seven million, seventy thousand".