5407006752 has 144 divisors (see below), whose sum is σ = 17601554880. Its totient is φ = 1542329856.

The previous prime is 5407006699. The next prime is 5407006753. The reversal of 5407006752 is 2576007045.

5407006752 is a `hidden beast` number, since 540 + 7 + 0 + 0 + 67 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 (5407006753) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1475899 + ... + 1479557.

It is an arithmetic number, because the mean of its divisors is an integer number (122233020).

Almost surely, 2^5407006752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5407006752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8800777440).

5407006752 is an abundant number, since it is smaller than the sum of its proper divisors (12194548128).

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

5407006752 is a wasteful number, since it uses less digits than its factorization.

5407006752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4415 (or 4404 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 5407006752 is about 73532.3517371776. The cubic root of 5407006752 is about 1755.1691248609.

The spelling of 5407006752 in words is "five billion, four hundred seven million, six thousand, seven hundred fifty-two".