7896147840 has 512 divisors, whose sum is σ = 33077376000. Its totient is φ = 1741824000.

The previous prime is 7896147799. The next prime is 7896147863. The reversal of 7896147840 is 487416987.

It is a happy number.

7896147840 is a `hidden beast` number, since 78 + 9 + 61 + 478 + 40 = 666.

It is a super-2 number, since 2×7896147840² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3506715 + ... + 3508965.

It is an arithmetic number, because the mean of its divisors is an integer number (64604250).

Almost surely, 2^7896147840 is an apocalyptic number.

7896147840 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 7896147840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16538688000).

7896147840 is an abundant number, since it is smaller than the sum of its proper divisors (25181228160).

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

7896147840 is a wasteful number, since it uses less digits than its factorization.

7896147840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2315 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The square root of 7896147840 is about 88860.2714378028. The cubic root of 7896147840 is about 1991.3079320359.

It can be divided in two parts, 7896147 and 840, that added together give a palindrome (7896987).

The spelling of 7896147840 in words is "seven billion, eight hundred ninety-six million, one hundred forty-seven thousand, eight hundred forty".