7837868016 has 160 divisors (see below), whose sum is σ = 24581283840. Its totient is φ = 2371392000.

The previous prime is 7837867993. The next prime is 7837868041. The reversal of 7837868016 is 6108687387.

It is a super-2 number, since 2×7837868016² (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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5468836 + ... + 5470268.

It is an arithmetic number, because the mean of its divisors is an integer number (153633024).

Almost surely, 2^7837868016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7837868016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12290641920).

7837868016 is an abundant number, since it is smaller than the sum of its proper divisors (16743415824).

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

7837868016 is a wasteful number, since it uses less digits than its factorization.

7837868016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2612 (or 2600 counting only the distinct ones).

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

The square root of 7837868016 is about 88531.7345136759. The cubic root of 7837868016 is about 1986.3966860325.

The spelling of 7837868016 in words is "seven billion, eight hundred thirty-seven million, eight hundred sixty-eight thousand, sixteen".