4952702880 has 240 divisors, whose sum is σ = 17540888904. Its totient is φ = 1316044800.

The previous prime is 4952702863. The next prime is 4952702897. The reversal of 4952702880 is 882072594.

4952702880 is a `hidden beast` number, since 49 + 527 + 0 + 2 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (4952702863) and next prime (4952702897).

It can be written as a sum of positive squares in 4 ways, for example, as 4822469136 + 130233744 = 69444^2 + 11412^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5196484 + ... + 5197436.

Almost surely, 2^4952702880 is an apocalyptic number.

4952702880 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 4952702880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8770444452).

4952702880 is an abundant number, since it is smaller than the sum of its proper divisors (12588186024).

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

4952702880 is a wasteful number, since it uses less digits than its factorization.

4952702880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 4952702880 is about 70375.4423076687. The cubic root of 4952702880 is about 1704.5670598338.

The spelling of 4952702880 in words is "four billion, nine hundred fifty-two million, seven hundred two thousand, eight hundred eighty".