4762611840 has 768 divisors, whose sum is σ = 19289456640. Its totient is φ = 993484800.

The previous prime is 4762611803. The next prime is 4762611851. The reversal of 4762611840 is 481162674.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67079005 + ... + 67079075.

It is an arithmetic number, because the mean of its divisors is an integer number (25116480).

Almost surely, 2^4762611840 is an apocalyptic number.

4762611840 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 4762611840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9644728320).

4762611840 is an abundant number, since it is smaller than the sum of its proper divisors (14526844800).

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

4762611840 is a wasteful number, since it uses less digits than its factorization.

4762611840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 4762611840 is about 69011.6790115992. The cubic root of 4762611840 is about 1682.4741323398.

The spelling of 4762611840 in words is "four billion, seven hundred sixty-two million, six hundred eleven thousand, eight hundred forty".