4670789760 has 1152 divisors, whose sum is σ = 21586219200. Its totient is φ = 919683072.

The previous prime is 4670789737. The next prime is 4670789803. The reversal of 4670789760 is 679870764.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 4670789697 and 4670789706.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 69713247 + ... + 69713313.

Almost surely, 2^4670789760 is an apocalyptic number.

4670789760 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 4670789760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10793109600).

4670789760 is an abundant number, since it is smaller than the sum of its proper divisors (16915429440).

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

4670789760 is a wasteful number, since it uses less digits than its factorization.

4670789760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The square root of 4670789760 is about 68343.1763967699. The cubic root of 4670789760 is about 1671.5913166725.

It can be divided in two parts, 4670 and 789760, that added together give a triangular number (794430 = T₁₂₆₀).

The spelling of 4670789760 in words is "four billion, six hundred seventy million, seven hundred eighty-nine thousand, seven hundred sixty".