4929748992 has 288 divisors, whose sum is σ = 16777152000. Its totient is φ = 1401421824.

The previous prime is 4929748979. The next prime is 4929748997. The reversal of 4929748992 is 2998479294.

4929748992 is a `hidden beast` number, since 49 + 29 + 7 + 489 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 not an unprimeable number, because it can be changed into a prime (4929748997) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24772509 + ... + 24772707.

It is an arithmetic number, because the mean of its divisors is an integer number (58254000).

Almost surely, 2^4929748992 is an apocalyptic number.

4929748992 is a gapful number since it is divisible by the number (42) 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 4929748992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8388576000).

4929748992 is an abundant number, since it is smaller than the sum of its proper divisors (11847403008).

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

4929748992 is an frugal number, since it uses more digits than its factorization.

4929748992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 211 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 63.

The square root of 4929748992 is about 70212.1712525685. The cubic root of 4929748992 is about 1701.9296418541.

It can be divided in two parts, 49297 and 48992, that added together give a palindrome (98289).

The spelling of 4929748992 in words is "four billion, nine hundred twenty-nine million, seven hundred forty-eight thousand, nine hundred ninety-two".