916633428480 has 2400 divisors, whose sum is σ = 4381038845568. Its totient is φ = 178681282560.

The previous prime is 916633428439. The next prime is 916633428481. The reversal of 916633428480 is 84824336619.

916633428480 is a `hidden beast` number, since 91 + 6 + 6 + 33 + 42 + 8 + 480 = 666.

It is a super-2 number, since 2×916633428480² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (916633428481) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2985776487 + ... + 2985776793.

Almost surely, 2^916633428480 is an apocalyptic number.

916633428480 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 916633428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2190519422784).

916633428480 is an abundant number, since it is smaller than the sum of its proper divisors (3464405417088).

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

916633428480 is a wasteful number, since it uses less digits than its factorization.

916633428480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 916633428480 in words is "nine hundred sixteen billion, six hundred thirty-three million, four hundred twenty-eight thousand, four hundred eighty".