918779964480 has 1008 divisors, whose sum is σ = 3767183012736. Its totient is φ = 204874629120.

The previous prime is 918779964467. The next prime is 918779964511. The reversal of 918779964480 is 84469977819.

918779964480 is a `hidden beast` number, since 9 + 1 + 87 + 7 + 9 + 9 + 64 + 480 = 666.

918779964480 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 918779964399 and 918779964408.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1072088212 + ... + 1072089068.

Almost surely, 2^918779964480 is an apocalyptic number.

918779964480 is a gapful number since it is divisible by the number (90) 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 918779964480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1883591506368).

918779964480 is an abundant number, since it is smaller than the sum of its proper divisors (2848403048256).

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

918779964480 is a wasteful number, since it uses less digits than its factorization.

918779964480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 72.

The spelling of 918779964480 in words is "nine hundred eighteen billion, seven hundred seventy-nine million, nine hundred sixty-four thousand, four hundred eighty".