4667257469952 has 3168 divisors, whose sum is σ = 19815342543360. Its totient is φ = 1079094804480.

The previous prime is 4667257469921. The next prime is 4667257469983. The reversal of 4667257469952 is 2599647527664.

4667257469952 is a `hidden beast` number, since 4 + 6 + 6 + 72 + 5 + 7 + 469 + 95 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (4667257469921) and next prime (4667257469983).

It is a tau number, because it is divible by the number of its divisors (3168).

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (1371686400) is a multiple of the sum of its prime factors (189).

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 52441095124 + ... + 52441095212.

Almost surely, 2^{4667257469952} is an apocalyptic number.

4667257469952 is a gapful number since it is divisible by the number (42) 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 4667257469952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9907671271680).

4667257469952 is an abundant number, since it is smaller than the sum of its proper divisors (15148085073408).

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

4667257469952 is a wasteful number, since it uses less digits than its factorization.

4667257469952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 152 counting only the distinct ones).

The product of its digits is 1371686400, while the sum is 72.

The spelling of 4667257469952 in words is "four trillion, six hundred sixty-seven billion, two hundred fifty-seven million, four hundred sixty-nine thousand, nine hundred fifty-two".