7838897472 has 560 divisors, whose sum is σ = 28625401728. Its totient is φ = 2070282240.

The previous prime is 7838897413. The next prime is 7838897483. The reversal of 7838897472 is 2747988387.

7838897472 is a `hidden beast` number, since 7 + 83 + 8 + 89 + 7 + 472 = 666.

It is a super-2 number, since 2×7838897472² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 59838847 + ... + 59838977.

Almost surely, 2^7838897472 is an apocalyptic number.

7838897472 is a gapful number since it is divisible by the number (72) 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 7838897472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14312700864).

7838897472 is an abundant number, since it is smaller than the sum of its proper divisors (20786504256).

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

7838897472 is a wasteful number, since it uses less digits than its factorization.

7838897472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 257 counting only the distinct ones).

The product of its digits is 37933056, while the sum is 63.

The square root of 7838897472 is about 88537.5483735573. The cubic root of 7838897472 is about 1986.4836492416.

The spelling of 7838897472 in words is "seven billion, eight hundred thirty-eight million, eight hundred ninety-seven thousand, four hundred seventy-two".