4756631040 has 800 divisors, whose sum is σ = 20320217280. Its totient is φ = 1040449536.

The previous prime is 4756631039. The next prime is 4756631063. The reversal of 4756631040 is 401366574.

It is a happy number.

4756631040 is a `hidden beast` number, since 47 + 566 + 3 + 10 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4756630986 and 4756631004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 42094024 + ... + 42094136.

Almost surely, 2^4756631040 is an apocalyptic number.

4756631040 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 4756631040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10160108640).

4756631040 is an abundant number, since it is smaller than the sum of its proper divisors (15563586240).

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

4756631040 is a wasteful number, since it uses less digits than its factorization.

4756631040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 4756631040 is about 68968.3336031834. Note that the first 3 decimals coincide. The cubic root of 4756631040 is about 1681.7695640141.

It can be divided in two parts, 47566 and 31040, that added together give a triangular number (78606 = T₃₉₆).

The spelling of 4756631040 in words is "four billion, seven hundred fifty-six million, six hundred thirty-one thousand, forty".