4762097464320 has 1760 divisors, whose sum is σ = 20650295305728. Its totient is φ = 1025840775168.

The previous prime is 4762097464303. The next prime is 4762097464349. The reversal of 4762097464320 is 234647902674.

4762097464320 is a `hidden beast` number, since 4 + 7 + 62 + 0 + 97 + 464 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4874203672 + ... + 4874204648.

Almost surely, 2^{4762097464320} is an apocalyptic number.

4762097464320 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 4762097464320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10325147652864).

4762097464320 is an abundant number, since it is smaller than the sum of its proper divisors (15888197841408).

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

4762097464320 is a wasteful number, since it uses less digits than its factorization.

4762097464320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 4762097464320 in words is "four trillion, seven hundred sixty-two billion, ninety-seven million, four hundred sixty-four thousand, three hundred twenty".