4796620400 has 120 divisors (see below), whose sum is σ = 13538706384. Its totient is φ = 1610035200.

The previous prime is 4796620369. The next prime is 4796620429. The reversal of 4796620400 is 40266974.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15272 + ... + 99128.

Almost surely, 2^4796620400 is an apocalyptic number.

4796620400 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 4796620400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6769353192).

4796620400 is an abundant number, since it is smaller than the sum of its proper divisors (8742085984).

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

4796620400 is a wasteful number, since it uses less digits than its factorization.

4796620400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83899 (or 83888 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The square root of 4796620400 is about 69257.6378459445. The cubic root of 4796620400 is about 1686.4693397305.

The spelling of 4796620400 in words is "four billion, seven hundred ninety-six million, six hundred twenty thousand, four hundred".