4970669760 has 672 divisors, whose sum is σ = 20848320000. Its totient is φ = 1111283712.

The previous prime is 4970669689. The next prime is 4970669761. The reversal of 4970669760 is 679660794.

4970669760 is a `hidden beast` number, since 497 + 0 + 6 + 6 + 97 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4970669697 and 4970669706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4970669761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24978141 + ... + 24978339.

Almost surely, 2^4970669760 is an apocalyptic number.

4970669760 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 4970669760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10424160000).

4970669760 is an abundant number, since it is smaller than the sum of its proper divisors (15877650240).

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

4970669760 is a wasteful number, since it uses less digits than its factorization.

4970669760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The square root of 4970669760 is about 70502.9769584235. The cubic root of 4970669760 is about 1706.6257870525.

The spelling of 4970669760 in words is "four billion, nine hundred seventy million, six hundred sixty-nine thousand, seven hundred sixty".