4970434560 has 624 divisors, whose sum is σ = 20079876096. Its totient is φ = 1040449536.

The previous prime is 4970434501. The next prime is 4970434603. The reversal of 4970434560 is 654340794.

It is a tau number, because it is divible by the number of its divisors (624).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39137217 + ... + 39137343.

Almost surely, 2^4970434560 is an apocalyptic number.

4970434560 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 4970434560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10039938048).

4970434560 is an abundant number, since it is smaller than the sum of its proper divisors (15109441536).

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

4970434560 is a wasteful number, since it uses less digits than its factorization.

4970434560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 4970434560 is about 70501.3089240193. The cubic root of 4970434560 is about 1706.5988688345.

The spelling of 4970434560 in words is "four billion, nine hundred seventy million, four hundred thirty-four thousand, five hundred sixty".