1670723731872 has 1152 divisors, whose sum is σ = 5741725167360. Its totient is φ = 474054819840.

The previous prime is 1670723731849. The next prime is 1670723731879. The reversal of 1670723731872 is 2781373270761.

1670723731872 is a `hidden beast` number, since 167 + 0 + 72 + 37 + 318 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1670723731879) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7918121847 + ... + 7918122057.

It is an arithmetic number, because the mean of its divisors is an integer number (4984136430).

Almost surely, 2^{1670723731872} is an apocalyptic number.

1670723731872 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 1670723731872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2870862583680).

1670723731872 is an abundant number, since it is smaller than the sum of its proper divisors (4071001435488).

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

1670723731872 is a wasteful number, since it uses less digits than its factorization.

1670723731872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 4148928, while the sum is 54.

The spelling of 1670723731872 in words is "one trillion, six hundred seventy billion, seven hundred twenty-three million, seven hundred thirty-one thousand, eight hundred seventy-two".