4507697900160 has 1344 divisors, whose sum is σ = 19997163550080. Its totient is φ = 950958268416.

The previous prime is 4507697900137. The next prime is 4507697900171. The reversal of 4507697900160 is 610097967054.

4507697900160 is a `hidden beast` number, since 4 + 507 + 6 + 9 + 79 + 0 + 0 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4507697900097 and 4507697900106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 551936397 + ... + 551944563.

Almost surely, 2^{4507697900160} is an apocalyptic number.

4507697900160 is a gapful number since it is divisible by the number (40) 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 4507697900160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9998581775040).

4507697900160 is an abundant number, since it is smaller than the sum of its proper divisors (15489465649920).

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

4507697900160 is an equidigital number, since it uses as much as digits as its factorization.

4507697900160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8237 (or 8197 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 4507697900160 in words is "four trillion, five hundred seven billion, six hundred ninety-seven million, nine hundred thousand, one hundred sixty".