11764945920 has 704 divisors, whose sum is σ = 48860743680. Its totient is φ = 2346319872.

The previous prime is 11764945919. The next prime is 11764945921. The reversal of 11764945920 is 2954946711.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11764945919) and next prime (11764945921).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 11764945920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11764945921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26557219 + ... + 26557661.

Almost surely, 2^11764945920 is an apocalyptic number.

11764945920 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 11764945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24430371840).

11764945920 is an abundant number, since it is smaller than the sum of its proper divisors (37095797760).

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

11764945920 is a wasteful number, since it uses less digits than its factorization.

11764945920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 11764945920 in words is "eleven billion, seven hundred sixty-four million, nine hundred forty-five thousand, nine hundred twenty".