4952572800 has 192 divisors, whose sum is σ = 18643152000. Its totient is φ = 1132001280.

The previous prime is 4952572777. The next prime is 4952572831. The reversal of 4952572800 is 82752594.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30351 + ... + 104049.

It is an arithmetic number, because the mean of its divisors is an integer number (97099750).

Almost surely, 2^4952572800 is an apocalyptic number.

4952572800 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 4952572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9321576000).

4952572800 is an abundant number, since it is smaller than the sum of its proper divisors (13690579200).

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

4952572800 is a wasteful number, since it uses less digits than its factorization.

4952572800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73733 (or 73716 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 4952572800 is about 70374.5181155793. The cubic root of 4952572800 is about 1704.5521365330.

The spelling of 4952572800 in words is "four billion, nine hundred fifty-two million, five hundred seventy-two thousand, eight hundred".