1156764672 has 352 divisors, whose sum is σ = 4035046400. Its totient is φ = 320495616.

The previous prime is 1156764649. The next prime is 1156764709. The reversal of 1156764672 is 2764676511.

1156764672 is a `hidden beast` number, since 11 + 567 + 6 + 4 + 6 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8321979 + ... + 8322117.

It is an arithmetic number, because the mean of its divisors is an integer number (11463200).

Almost surely, 2^1156764672 is an apocalyptic number.

1156764672 is a gapful number since it is divisible by the number (12) 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 1156764672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2017523200).

1156764672 is an abundant number, since it is smaller than the sum of its proper divisors (2878281728).

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

1156764672 is a wasteful number, since it uses less digits than its factorization.

1156764672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 194 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 1156764672 is about 34011.2433174678. The cubic root of 1156764672 is about 1049.7398212501.

The spelling of 1156764672 in words is "one billion, one hundred fifty-six million, seven hundred sixty-four thousand, six hundred seventy-two".