1675755636240 has 320 divisors, whose sum is σ = 5971960627200. Its totient is φ = 380776273920.

The previous prime is 1675755636229. The next prime is 1675755636241. The reversal of 1675755636240 is 426365575761.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1675755636241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 385317586 + ... + 385321934.

It is an arithmetic number, because the mean of its divisors is an integer number (18662376960).

Almost surely, 2^{1675755636240} is an apocalyptic number.

1675755636240 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 1675755636240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2985980313600).

1675755636240 is an abundant number, since it is smaller than the sum of its proper divisors (4296204990960).

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

1675755636240 is a wasteful number, since it uses less digits than its factorization.

1675755636240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5670 (or 5664 counting only the distinct ones).

The product of its (nonzero) digits is 31752000, while the sum is 57.

The spelling of 1675755636240 in words is "one trillion, six hundred seventy-five billion, seven hundred fifty-five million, six hundred thirty-six thousand, two hundred forty".