264478556160 has 1536 divisors, whose sum is σ = 1186248510720. Its totient is φ = 55037657088.

The previous prime is 264478556101. The next prime is 264478556189. The reversal of 264478556160 is 61655874462.

264478556160 is a `hidden beast` number, since 2 + 6 + 4 + 4 + 78 + 5 + 561 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 264478556097 and 264478556106.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3622993884 + ... + 3622993956.

Almost surely, 2^264478556160 is an apocalyptic number.

264478556160 is a gapful number since it is divisible by the number (20) 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 264478556160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593124255360).

264478556160 is an abundant number, since it is smaller than the sum of its proper divisors (921769954560).

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

264478556160 is an frugal number, since it uses more digits than its factorization.

264478556160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 264478556160 in words is "two hundred sixty-four billion, four hundred seventy-eight million, five hundred fifty-six thousand, one hundred sixty".