4956000000 has 504 divisors, whose sum is σ = 19162254720. Its totient is φ = 1113600000.

The previous prime is 4955999933. The next prime is 4956000001. The reversal of 4956000000 is 6594.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4956000001) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 83999971 + ... + 84000029.

Almost surely, 2^4956000000 is an apocalyptic number.

4956000000 is a gapful number since it is divisible by the number (40) 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 4956000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9581127360).

4956000000 is an abundant number, since it is smaller than the sum of its proper divisors (14206254720).

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

4956000000 is an frugal number, since it uses more digits than its factorization.

4956000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 4956000000 is about 70398.8636271922. The cubic root of 4956000000 is about 1704.9452314832.

Adding to 4956000000 its reverse (6594), we get a palindrome (4956006594).

It can be divided in two parts, 49 and 56000000, that multiplied together give a cube (2744000000 = 1400³).

The spelling of 4956000000 in words is "four billion, nine hundred fifty-six million", and thus it is an aban number.