4762090752000 has 768 divisors, whose sum is σ = 16613408448000. Its totient is φ = 1208798412800.

The previous prime is 4762090751947. The next prime is 4762090752077. The reversal of 4762090752000 is 2570902674.

It is a tau number, because it is divible by the number of its divisors (768).

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, 4539647476 + ... + 4539648524.

It is an arithmetic number, because the mean of its divisors is an integer number (21632042250).

Almost surely, 2^{4762090752000} is an apocalyptic number.

4762090752000 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 4762090752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8306704224000).

4762090752000 is an abundant number, since it is smaller than the sum of its proper divisors (11851317696000).

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

4762090752000 is a wasteful number, since it uses less digits than its factorization.

4762090752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 4762090752000 in words is "four trillion, seven hundred sixty-two billion, ninety million, seven hundred fifty-two thousand".