11763628032 has 192 divisors, whose sum is σ = 34871316480. Its totient is φ = 3502080000.

The previous prime is 11763627983. The next prime is 11763628067. The reversal of 11763628032 is 23082636711.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2473657 + ... + 2478407.

It is an arithmetic number, because the mean of its divisors is an integer number (181621440).

Almost surely, 2^11763628032 is an apocalyptic number.

11763628032 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 11763628032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17435658240).

11763628032 is an abundant number, since it is smaller than the sum of its proper divisors (23107688448).

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

11763628032 is a wasteful number, since it uses less digits than its factorization.

11763628032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4820 (or 4800 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 11763628032 in words is "eleven billion, seven hundred sixty-three million, six hundred twenty-eight thousand, thirty-two".