4561763590944 has 480 divisors, whose sum is σ = 16660243353600. Its totient is φ = 1194929210880.

The previous prime is 4561763590933. The next prime is 4561763590949. The reversal of 4561763590944 is 4490953671654.

It is a happy number.

4561763590944 is a `hidden beast` number, since 4 + 5 + 617 + 6 + 3 + 5 + 9 + 0 + 9 + 4 + 4 = 666.

It is a super-2 number, since 2×4561763590944² (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 (4561763590949) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10473387 + ... + 10900245.

It is an arithmetic number, because the mean of its divisors is an integer number (34708840320).

Almost surely, 2^{4561763590944} 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 4561763590944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8330121676800).

4561763590944 is an abundant number, since it is smaller than the sum of its proper divisors (12098479762656).

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

4561763590944 is a wasteful number, since it uses less digits than its factorization.

4561763590944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426938 (or 426921 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 4561763590944 in words is "four trillion, five hundred sixty-one billion, seven hundred sixty-three million, five hundred ninety thousand, nine hundred forty-four".