1670657919744 has 288 divisors, whose sum is σ = 4990562244864. Its totient is φ = 491860131840.

The previous prime is 1670657919727. The next prime is 1670657919761. The reversal of 1670657919744 is 4479197560761.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1670657919727) and next prime (1670657919761).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41298952 + ... + 41339384.

It is an arithmetic number, because the mean of its divisors is an integer number (17328341128).

Almost surely, 2^{1670657919744} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1670657919744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2495281122432).

1670657919744 is an abundant number, since it is smaller than the sum of its proper divisors (3319904325120).

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

1670657919744 is a wasteful number, since it uses less digits than its factorization.

1670657919744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40603 (or 40589 counting only the distinct ones).

The product of its (nonzero) digits is 80015040, while the sum is 66.

The spelling of 1670657919744 in words is "one trillion, six hundred seventy billion, six hundred fifty-seven million, nine hundred nineteen thousand, seven hundred forty-four".