1670491769400 has 576 divisors, whose sum is σ = 5936265054720. Its totient is φ = 420432768000.

The previous prime is 1670491769399. The next prime is 1670491769411. The reversal of 1670491769400 is 49671940761.

1670491769400 is a `hidden beast` number, since 1 + 67 + 0 + 4 + 9 + 176 + 9 + 400 = 666.

It is a super-3 number, since 3×1670491769400³ (a number of 38 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 432431869 + ... + 432435731.

It is an arithmetic number, because the mean of its divisors is an integer number (10306015720).

Almost surely, 2^{1670491769400} is an apocalyptic number.

1670491769400 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 1670491769400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2968132527360).

1670491769400 is an abundant number, since it is smaller than the sum of its proper divisors (4265773285320).

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

1670491769400 is a wasteful number, since it uses less digits than its factorization.

1670491769400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4116 (or 4104 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 1670491769400 in words is "one trillion, six hundred seventy billion, four hundred ninety-one million, seven hundred sixty-nine thousand, four hundred".