5007752400 has 240 divisors, whose sum is σ = 18925518848. Its totient is φ = 1107648000.

The previous prime is 5007752377. The next prime is 5007752401. The reversal of 5007752400 is 42577005.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5007752401) 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, 250785 + ... + 270015.

Almost surely, 2^5007752400 is an apocalyptic number.

5007752400 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 5007752400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9462759424).

5007752400 is an abundant number, since it is smaller than the sum of its proper divisors (13917766448).

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

5007752400 is a wasteful number, since it uses less digits than its factorization.

5007752400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19290 (or 19279 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 30.

The square root of 5007752400 is about 70765.4746327614. The cubic root of 5007752400 is about 1710.8592514870.

The spelling of 5007752400 in words is "five billion, seven million, seven hundred fifty-two thousand, four hundred".