5461378560 has 480 divisors, whose sum is σ = 21355820640. Its totient is φ = 1321943040.

The previous prime is 5461378541. The next prime is 5461378567. The reversal of 5461378560 is 658731645.

5461378560 is a `hidden beast` number, since 5 + 4 + 6 + 13 + 78 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5461378567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8363194 + ... + 8363846.

It is an arithmetic number, because the mean of its divisors is an integer number (44491293).

Almost surely, 2^5461378560 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 5461378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10677910320).

5461378560 is an abundant number, since it is smaller than the sum of its proper divisors (15894442080).

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

5461378560 is a wasteful number, since it uses less digits than its factorization.

5461378560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 5461378560 is about 73901.1404512813. The cubic root of 5461378560 is about 1761.0327272344.

The spelling of 5461378560 in words is "five billion, four hundred sixty-one million, three hundred seventy-eight thousand, five hundred sixty".