4467700090560 has 448 divisors, whose sum is σ = 17718701875200. Its totient is φ = 930114109440.

The previous prime is 4467700090547. The next prime is 4467700090561. The reversal of 4467700090560 is 650900077644.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×4467700090560² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (4467700090561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2910666 + ... + 4172214.

Almost surely, 2^{4467700090560} is an apocalyptic number.

4467700090560 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 4467700090560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8859350937600).

4467700090560 is an abundant number, since it is smaller than the sum of its proper divisors (13251001784640).

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

4467700090560 is a wasteful number, since it uses less digits than its factorization.

4467700090560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261624 (or 1261614 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 4467700090560 in words is "four trillion, four hundred sixty-seven billion, seven hundred million, ninety thousand, five hundred sixty".