4875015264000 has 1152 divisors, whose sum is σ = 19116289640448. Its totient is φ = 1078021324800.

The previous prime is 4875015263981. The next prime is 4875015264019. The reversal of 4875015264000 is 4625105784.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4875015263981) and next prime (4875015264019).

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

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3265247254 + ... + 3265248746.

It is an arithmetic number, because the mean of its divisors is an integer number (16594001424).

Almost surely, 2^{4875015264000} is an apocalyptic number.

4875015264000 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 4875015264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9558144820224).

4875015264000 is an abundant number, since it is smaller than the sum of its proper divisors (14241274376448).

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

4875015264000 is a wasteful number, since it uses less digits than its factorization.

4875015264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The spelling of 4875015264000 in words is "four trillion, eight hundred seventy-five billion, fifteen million, two hundred sixty-four thousand".