1790472171600 has 540 divisors, whose sum is σ = 7275849241440. Its totient is φ = 406534464000.

The previous prime is 1790472171557. The next prime is 1790472171613. The reversal of 1790472171600 is 61712740971.

1790472171600 is a `hidden beast` number, since 1 + 7 + 9 + 0 + 472 + 17 + 160 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 26602791 + ... + 26670009.

Almost surely, 2^{1790472171600} is an apocalyptic number.

1790472171600 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 1790472171600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3637924620720).

1790472171600 is an abundant number, since it is smaller than the sum of its proper divisors (5485377069840).

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

1790472171600 is a wasteful number, since it uses less digits than its factorization.

1790472171600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67408 (or 67387 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The spelling of 1790472171600 in words is "one trillion, seven hundred ninety billion, four hundred seventy-two million, one hundred seventy-one thousand, six hundred".