5407805700 has 288 divisors, whose sum is σ = 19432506240. Its totient is φ = 1278720000.

The previous prime is 5407805699. The next prime is 5407805717. The reversal of 5407805700 is 75087045.

5407805700 is a `hidden beast` number, since 5 + 4 + 0 + 7 + 80 + 570 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1215480 + ... + 1219920.

It is an arithmetic number, because the mean of its divisors is an integer number (67473980).

Almost surely, 2^5407805700 is an apocalyptic number.

5407805700 is a gapful number since it is divisible by the number (50) 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 5407805700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9716253120).

5407805700 is an abundant number, since it is smaller than the sum of its proper divisors (14024700540).

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

5407805700 is a wasteful number, since it uses less digits than its factorization.

5407805700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4516 (or 4503 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 5407805700 is about 73537.7841656927. The cubic root of 5407805700 is about 1755.2555694727.

The spelling of 5407805700 in words is "five billion, four hundred seven million, eight hundred five thousand, seven hundred".