4761757440 has 432 divisors, whose sum is σ = 18337868640. Its totient is φ = 1130987520.

The previous prime is 4761757433. The next prime is 4761757453. The reversal of 4761757440 is 447571674.

4761757440 is a `hidden beast` number, since 4 + 76 + 1 + 7 + 574 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6715806 + ... + 6716514.

It is an arithmetic number, because the mean of its divisors is an integer number (42448770).

Almost surely, 2^4761757440 is an apocalyptic number.

4761757440 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 4761757440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9168934320).

4761757440 is an abundant number, since it is smaller than the sum of its proper divisors (13576111200).

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

4761757440 is a wasteful number, since it uses less digits than its factorization.

4761757440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The square root of 4761757440 is about 69005.4884773668. The cubic root of 4761757440 is about 1682.3735158492.

The spelling of 4761757440 in words is "four billion, seven hundred sixty-one million, seven hundred fifty-seven thousand, four hundred forty".