5467272624 has 240 divisors, whose sum is σ = 17782861824. Its totient is φ = 1549670400.

The previous prime is 5467272617. The next prime is 5467272649. The reversal of 5467272624 is 4262727645.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5467272624.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5142717 + ... + 5143779.

Almost surely, 2^5467272624 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 5467272624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8891430912).

5467272624 is an abundant number, since it is smaller than the sum of its proper divisors (12315589200).

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

5467272624 is a wasteful number, since it uses less digits than its factorization.

5467272624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 1287 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 45.

The square root of 5467272624 is about 73941.0077291350. The cubic root of 5467272624 is about 1761.6660171464. Note that the first 3 decimals are identical.

The spelling of 5467272624 in words is "five billion, four hundred sixty-seven million, two hundred seventy-two thousand, six hundred twenty-four".