4969536000 has 640 divisors, whose sum is σ = 19518250752. Its totient is φ = 1105920000.

The previous prime is 4969535969. The next prime is 4969536007. The reversal of 4969536000 is 6359694.

It is a tau number, because it is divible by the number of its divisors (640).

It is not an unprimeable number, because it can be changed into a prime (4969536007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27455910 + ... + 27456090.

Almost surely, 2^4969536000 is an apocalyptic number.

4969536000 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 4969536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9759125376).

4969536000 is an abundant number, since it is smaller than the sum of its proper divisors (14548714752).

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

4969536000 is a wasteful number, since it uses less digits than its factorization.

4969536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The square root of 4969536000 is about 70494.9359883389. The cubic root of 4969536000 is about 1706.4960224349.

The spelling of 4969536000 in words is "four billion, nine hundred sixty-nine million, five hundred thirty-six thousand".