4772070567936 has 1560 divisors, whose sum is σ = 18157407244416. Its totient is φ = 1239621304320.

The previous prime is 4772070567931. The next prime is 4772070567949. The reversal of 4772070567936 is 6397650702774.

4772070567936 is a `hidden beast` number, since 47 + 7 + 20 + 7 + 0 + 567 + 9 + 3 + 6 = 666.

It is a super-2 number, since 2×4772070567936² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (4772070567931) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8567451370 + ... + 8567451926.

Almost surely, 2^{4772070567936} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4772070567936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9078703622208).

4772070567936 is an abundant number, since it is smaller than the sum of its proper divisors (13385336676480).

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

4772070567936 is a wasteful number, since it uses less digits than its factorization.

4772070567936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 93350880, while the sum is 63.

The spelling of 4772070567936 in words is "four trillion, seven hundred seventy-two billion, seventy million, five hundred sixty-seven thousand, nine hundred thirty-six".