5461738632 has 320 divisors, whose sum is σ = 18585600000. Its totient is φ = 1463785344.

The previous prime is 5461738589. The next prime is 5461738643. The reversal of 5461738632 is 2368371645.

5461738632 is a `hidden beast` number, since 5 + 4 + 6 + 1 + 7 + 3 + 8 + 632 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10945119 + ... + 10945617.

It is an arithmetic number, because the mean of its divisors is an integer number (58080000).

Almost surely, 2^5461738632 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 5461738632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9292800000).

5461738632 is an abundant number, since it is smaller than the sum of its proper divisors (13123861368).

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

5461738632 is a wasteful number, since it uses less digits than its factorization.

5461738632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 657 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 5461738632 is about 73903.5765846282. The cubic root of 5461738632 is about 1761.0714283690.

The spelling of 5461738632 in words is "five billion, four hundred sixty-one million, seven hundred thirty-eight thousand, six hundred thirty-two".