7835622480 has 480 divisors, whose sum is σ = 31665973248. Its totient is φ = 1763596800.

The previous prime is 7835622479. The next prime is 7835622493. The reversal of 7835622480 is 842265387.

7835622480 is a `hidden beast` number, since 7 + 8 + 3 + 562 + 2 + 4 + 80 = 666.

It is a super-3 number, since 3×7835622480³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9661275 + ... + 9662085.

Almost surely, 2^7835622480 is an apocalyptic number.

7835622480 is a gapful number since it is divisible by the number (70) 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 7835622480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15832986624).

7835622480 is an abundant number, since it is smaller than the sum of its proper divisors (23830350768).

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

7835622480 is a wasteful number, since it uses less digits than its factorization.

7835622480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 7835622480 is about 88519.0515087007. The cubic root of 7835622480 is about 1986.2069681439.

The spelling of 7835622480 in words is "seven billion, eight hundred thirty-five million, six hundred twenty-two thousand, four hundred eighty".