61527460544 has 56 divisors (see below), whose sum is σ = 133448438208. Its totient is φ = 27913386240.

The previous prime is 61527460507. The next prime is 61527460591. The reversal of 61527460544 is 44506472516.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 61527460495 and 61527460504.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 284639 + ... + 451745.

Almost surely, 2^61527460544 is an apocalyptic number.

61527460544 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61527460544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66724219104).

61527460544 is an abundant number, since it is smaller than the sum of its proper divisors (71920977664).

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

61527460544 is a wasteful number, since it uses less digits than its factorization.

61527460544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167653 (or 167643 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 44.

The spelling of 61527460544 in words is "sixty-one billion, five hundred twenty-seven million, four hundred sixty thousand, five hundred forty-four".