5460742000 has 320 divisors, whose sum is σ = 15851556864. Its totient is φ = 1780531200.

The previous prime is 5460741997. The next prime is 5460742003. The reversal of 5460742000 is 2470645.

It is an interprime number because it is at equal distance from previous prime (5460741997) and next prime (5460742003).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 5460742000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5460742003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28293904 + ... + 28294096.

Almost surely, 2^5460742000 is an apocalyptic number.

5460742000 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 5460742000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7925778432).

5460742000 is an abundant number, since it is smaller than the sum of its proper divisors (10390814864).

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

5460742000 is a wasteful number, since it uses less digits than its factorization.

5460742000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 5460742000 is about 73896.8334910231. The cubic root of 5460742000 is about 1760.9643045497.

The spelling of 5460742000 in words is "five billion, four hundred sixty million, seven hundred forty-two thousand".