4761694080 has 1024 divisors, whose sum is σ = 20727705600. Its totient is φ = 1017446400.

The previous prime is 4761694079. The next prime is 4761694081. The reversal of 4761694080 is 804961674.

4761694080 is a `hidden beast` number, since 476 + 1 + 69 + 40 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (4761694079) and next prime (4761694081).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4761694081) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 101312617 + ... + 101312663.

It is an arithmetic number, because the mean of its divisors is an integer number (20241900).

Almost surely, 2^4761694080 is an apocalyptic number.

4761694080 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 4761694080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10363852800).

4761694080 is an abundant number, since it is smaller than the sum of its proper divisors (15966011520).

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

4761694080 is a wasteful number, since it uses less digits than its factorization.

4761694080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 4761694080 is about 69005.0293819226. The cubic root of 4761694080 is about 1682.3660539222.

It can be divided in two parts, 476169 and 4080, that added together give a square (480249 = 693²).

The spelling of 4761694080 in words is "four billion, seven hundred sixty-one million, six hundred ninety-four thousand, eighty".