1670142675456 has 800 divisors, whose sum is σ = 5311490899968. Its totient is φ = 521711124480.

The previous prime is 1670142675449. The next prime is 1670142675493. The reversal of 1670142675456 is 6545762410761.

1670142675456 is a `hidden beast` number, since 1 + 6 + 70 + 1 + 4 + 26 + 7 + 545 + 6 = 666.

It is a super-3 number, since 3×1670142675456³ (a number of 38 digits) contains 333 as substring.

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

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, 8653588896 + ... + 8653589088.

Almost surely, 2^{1670142675456} is an apocalyptic number.

1670142675456 is a gapful number since it is divisible by the number (16) 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 1670142675456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2655745449984).

1670142675456 is an abundant number, since it is smaller than the sum of its proper divisors (3641348224512).

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

1670142675456 is a wasteful number, since it uses less digits than its factorization.

1670142675456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 1670142675456 in words is "one trillion, six hundred seventy billion, one hundred forty-two million, six hundred seventy-five thousand, four hundred fifty-six".