6530972448 has 768 divisors, whose sum is σ = 25062912000. Its totient is φ = 1463132160.

The previous prime is 6530972447. The next prime is 6530972449. The reversal of 6530972448 is 8442790356.

It is an interprime number because it is at equal distance from previous prime (6530972447) and next prime (6530972449).

It is a super-2 number, since 2×6530972448² = 85307202233070225408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 6530972397 and 6530972406.

It is not an unprimeable number, because it can be changed into a prime (6530972447) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 89465340 + ... + 89465412.

It is an arithmetic number, because the mean of its divisors is an integer number (32634000).

Almost surely, 2^6530972448 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 6530972448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12531456000).

6530972448 is an abundant number, since it is smaller than the sum of its proper divisors (18531939552).

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

6530972448 is a wasteful number, since it uses less digits than its factorization.

6530972448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The square root of 6530972448 is about 80814.4321764374. The cubic root of 6530972448 is about 1869.2151136208.

The spelling of 6530972448 in words is "six billion, five hundred thirty million, nine hundred seventy-two thousand, four hundred forty-eight".