1674870904980 has 1152 divisors, whose sum is σ = 6895926116352. Its totient is φ = 331139653632.

The previous prime is 1674870904939. The next prime is 1674870904981. The reversal of 1674870904980 is 894090784761.

1674870904980 is a `hidden beast` number, since 1 + 6 + 74 + 8 + 70 + 9 + 0 + 498 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1674870904981) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2759259837 + ... + 2759260443.

It is an arithmetic number, because the mean of its divisors is an integer number (5986046976).

Almost surely, 2^{1674870904980} is an apocalyptic number.

1674870904980 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 1674870904980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447963058176).

1674870904980 is an abundant number, since it is smaller than the sum of its proper divisors (5221055211372).

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

1674870904980 is a wasteful number, since it uses less digits than its factorization.

1674870904980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 1674870904980 in words is "one trillion, six hundred seventy-four billion, eight hundred seventy million, nine hundred four thousand, nine hundred eighty".