6461500032 has 512 divisors, whose sum is σ = 22139712000. Its totient is φ = 1850314752.

The previous prime is 6461500021. The next prime is 6461500037. The reversal of 6461500032 is 2300051646.

6461500032 is a `hidden beast` number, since 646 + 15 + 0 + 0 + 0 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 6461499969 and 6461500005.

It is not an unprimeable number, because it can be changed into a prime (6461500037) 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, 174635118 + ... + 174635154.

It is an arithmetic number, because the mean of its divisors is an integer number (43241625).

Almost surely, 2^6461500032 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 6461500032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11069856000).

6461500032 is an abundant number, since it is smaller than the sum of its proper divisors (15678211968).

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

6461500032 is a wasteful number, since it uses less digits than its factorization.

6461500032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 6461500032 is about 80383.4562083517. The cubic root of 6461500032 is about 1862.5636241617.

Adding to 6461500032 its reverse (2300051646), we get a palindrome (8761551678).

The spelling of 6461500032 in words is "six billion, four hundred sixty-one million, five hundred thousand, thirty-two".