4961692600 has 192 divisors, whose sum is σ = 12539197440. Its totient is φ = 1821657600.

The previous prime is 4961692591. The next prime is 4961692601. The reversal of 4961692600 is 62961694.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4961692601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9863949 + ... + 9864451.

It is an arithmetic number, because the mean of its divisors is an integer number (65308320).

Almost surely, 2^4961692600 is an apocalyptic number.

4961692600 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 4961692600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6269598720).

4961692600 is an abundant number, since it is smaller than the sum of its proper divisors (7577504840).

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

4961692600 is a wasteful number, since it uses less digits than its factorization.

4961692600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 43.

The square root of 4961692600 is about 70439.2830741483. The cubic root of 4961692600 is about 1705.5977642760.

The spelling of 4961692600 in words is "four billion, nine hundred sixty-one million, six hundred ninety-two thousand, six hundred".