1670947153920 has 1152 divisors, whose sum is σ = 6519091662720. Its totient is φ = 392398110720.

The previous prime is 1670947153913. The next prime is 1670947153951. The reversal of 1670947153920 is 293517490761.

1670947153920 is a `hidden beast` number, since 1 + 67 + 0 + 9 + 47 + 1 + 539 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4958299992 + ... + 4958300328.

It is an arithmetic number, because the mean of its divisors is an integer number (5658933735).

Almost surely, 2^{1670947153920} is an apocalyptic number.

1670947153920 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 1670947153920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3259545831360).

1670947153920 is an abundant number, since it is smaller than the sum of its proper divisors (4848144508800).

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

1670947153920 is a wasteful number, since it uses less digits than its factorization.

1670947153920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 1670947153920 in words is "one trillion, six hundred seventy billion, nine hundred forty-seven million, one hundred fifty-three thousand, nine hundred twenty".