4920607800 has 144 divisors (see below), whose sum is σ = 16971893640. Its totient is φ = 1276680960.

The previous prime is 4920607793. The next prime is 4920607829. The reversal of 4920607800 is 87060294.

4920607800 is a `hidden beast` number, since 49 + 2 + 0 + 607 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×4920607800² = 48424762242841680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29659 + ... + 103541.

Almost surely, 2^4920607800 is an apocalyptic number.

4920607800 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 4920607800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8485946820).

4920607800 is an abundant number, since it is smaller than the sum of its proper divisors (12051285840).

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

4920607800 is a wasteful number, since it uses less digits than its factorization.

4920607800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73942 (or 73930 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4920607800 is about 70147.0441287443. The cubic root of 4920607800 is about 1700.8770330417.

The spelling of 4920607800 in words is "four billion, nine hundred twenty million, six hundred seven thousand, eight hundred".