1178057664 has 168 divisors, whose sum is σ = 3885740768. Its totient is φ = 334264320.

The previous prime is 1178057651. The next prime is 1178057669. The reversal of 1178057664 is 4667508711.

1178057664 is a `hidden beast` number, since 1 + 1 + 78 + 0 + 576 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1178057669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 632094 + ... + 633954.

Almost surely, 2^1178057664 is an apocalyptic number.

1178057664 is a gapful number since it is divisible by the number (14) 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 1178057664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1942870384).

1178057664 is an abundant number, since it is smaller than the sum of its proper divisors (2707683104).

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

1178057664 is a wasteful number, since it uses less digits than its factorization.

1178057664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2043 (or 2030 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 1178057664 is about 34322.8446373549. The cubic root of 1178057664 is about 1056.1416820918.

The spelling of 1178057664 in words is "one billion, one hundred seventy-eight million, fifty-seven thousand, six hundred sixty-four".