5379620400 has 480 divisors, whose sum is σ = 23875852800. Its totient is φ = 1117670400.

The previous prime is 5379620399. The next prime is 5379620401. The reversal of 5379620400 is 40269735.

It is an interprime number because it is at equal distance from previous prime (5379620399) and next prime (5379620401).

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

It is not an unprimeable number, because it can be changed into a prime (5379620401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 828366 + ... + 834834.

It is an arithmetic number, because the mean of its divisors is an integer number (49741360).

Almost surely, 2^5379620400 is an apocalyptic number.

5379620400 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 5379620400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11937926400).

5379620400 is an abundant number, since it is smaller than the sum of its proper divisors (18496232400).

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

5379620400 is a wasteful number, since it uses less digits than its factorization.

5379620400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6514 (or 6497 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 5379620400 is about 73345.8955906873. The cubic root of 5379620400 is about 1752.2008120358.

The spelling of 5379620400 in words is "five billion, three hundred seventy-nine million, six hundred twenty thousand, four hundred".