61506157667664 has 80 divisors (see below), whose sum is σ = 159275209109184. Its totient is φ = 20452469452800.

The previous prime is 61506157667623. The next prime is 61506157667677. The reversal of 61506157667664 is 46676675160516.

61506157667664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 61506157667595 and 61506157667604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 604592707 + ... + 604694429.

Almost surely, 2^{61506157667664} is an apocalyptic number.

It is an amenable number.

61506157667664 is an abundant number, since it is smaller than the sum of its proper divisors (97769051441520).

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

61506157667664 is a wasteful number, since it uses less digits than its factorization.

61506157667664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132076 (or 132070 counting only the distinct ones).

The product of its (nonzero) digits is 228614400, while the sum is 66.

The spelling of 61506157667664 in words is "sixty-one trillion, five hundred six billion, one hundred fifty-seven million, six hundred sixty-seven thousand, six hundred sixty-four".