11792420640 has 1344 divisors, whose sum is σ = 56638455552. Its totient is φ = 2239488000.

The previous prime is 11792420621. The next prime is 11792420641. The reversal of 11792420640 is 4602429711.

It is a happy number.

11792420640 is a `hidden beast` number, since 1 + 1 + 7 + 9 + 2 + 4 + 2 + 0 + 640 = 666.

It is a super-2 number, since 2×11792420640² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11792420595 and 11792420604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11792420641) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 116756590 + ... + 116756690.

It is an arithmetic number, because the mean of its divisors is an integer number (42141708).

Almost surely, 2^11792420640 is an apocalyptic number.

11792420640 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 11792420640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28319227776).

11792420640 is an abundant number, since it is smaller than the sum of its proper divisors (44846034912).

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

11792420640 is a wasteful number, since it uses less digits than its factorization.

11792420640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 11792420640 in words is "eleven billion, seven hundred ninety-two million, four hundred twenty thousand, six hundred forty".