7837956672 has 448 divisors, whose sum is σ = 27310080000. Its totient is φ = 1927618560.

The previous prime is 7837956661. The next prime is 7837956689. The reversal of 7837956672 is 2766597387.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×7837956672² (a number of 21 digits) contains 22 as substring.

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, 15707079 + ... + 15707577.

It is an arithmetic number, because the mean of its divisors is an integer number (60960000).

Almost surely, 2^7837956672 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 7837956672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13655040000).

7837956672 is an abundant number, since it is smaller than the sum of its proper divisors (19472123328).

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

7837956672 is a wasteful number, since it uses less digits than its factorization.

7837956672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 584 counting only the distinct ones).

The product of its digits is 26671680, while the sum is 60.

The square root of 7837956672 is about 88532.2352140733. The cubic root of 7837956672 is about 1986.4041755403.

The spelling of 7837956672 in words is "seven billion, eight hundred thirty-seven million, nine hundred fifty-six thousand, six hundred seventy-two".