1675980076320 has 768 divisors, whose sum is σ = 6614820495360. Its totient is φ = 392819097600.

The previous prime is 1675980076313. The next prime is 1675980076339. The reversal of 1675980076320 is 236700895761.

1675980076320 is a `hidden beast` number, since 16 + 7 + 598 + 0 + 0 + 7 + 6 + 32 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 185371000 + ... + 185380040.

It is an arithmetic number, because the mean of its divisors is an integer number (8613047520).

Almost surely, 2^{1675980076320} is an apocalyptic number.

1675980076320 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 1675980076320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3307410247680).

1675980076320 is an abundant number, since it is smaller than the sum of its proper divisors (4938840419040).

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

1675980076320 is a wasteful number, since it uses less digits than its factorization.

1675980076320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9206 (or 9192 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 1675980076320 in words is "one trillion, six hundred seventy-five billion, nine hundred eighty million, seventy-six thousand, three hundred twenty".