4167552720 has 320 divisors, whose sum is σ = 14798695680. Its totient is φ = 963477504.

The previous prime is 4167552713. The next prime is 4167552749. The reversal of 4167552720 is 272557614.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2867514 + ... + 2868966.

It is an arithmetic number, because the mean of its divisors is an integer number (46245924).

Almost surely, 2^4167552720 is an apocalyptic number.

4167552720 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 4167552720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7399347840).

4167552720 is an abundant number, since it is smaller than the sum of its proper divisors (10631142960).

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

4167552720 is a wasteful number, since it uses less digits than its factorization.

4167552720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 39.

The square root of 4167552720 is about 64556.5854115597. The cubic root of 4167552720 is about 1609.2630296034.

It can be divided in two parts, 41675 and 52720, that added together give a triangular number (94395 = T₄₃₄).

The spelling of 4167552720 in words is "four billion, one hundred sixty-seven million, five hundred fifty-two thousand, seven hundred twenty".