11747564640 has 288 divisors, whose sum is σ = 47808423936. Its totient is φ = 2568360960.

The previous prime is 11747564629. The next prime is 11747564683. The reversal of 11747564640 is 4646574711.

11747564640 is a `hidden beast` number, since 1 + 1 + 7 + 47 + 564 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206505 + ... + 257175.

It is an arithmetic number, because the mean of its divisors is an integer number (166001472).

Almost surely, 2^11747564640 is an apocalyptic number.

11747564640 is a gapful number since it is divisible by the number (10) 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 11747564640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23904211968).

11747564640 is an abundant number, since it is smaller than the sum of its proper divisors (36060859296).

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

11747564640 is a wasteful number, since it uses less digits than its factorization.

11747564640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50722 (or 50711 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

It can be divided in two parts, 1174756 and 4640, that added together give a square (1179396 = 1086²).

The spelling of 11747564640 in words is "eleven billion, seven hundred forty-seven million, five hundred sixty-four thousand, six hundred forty".