7506972480 has 336 divisors, whose sum is σ = 28687288320. Its totient is φ = 1656410112.

The previous prime is 7506972479. The next prime is 7506972481. The reversal of 7506972480 is 842796057.

It is an interprime number because it is at equal distance from previous prime (7506972479) and next prime (7506972481).

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7506972481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1361409 + ... + 1366911.

Almost surely, 2^7506972480 is an apocalyptic number.

7506972480 is a gapful number since it is divisible by the number (70) 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 7506972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14343644160).

7506972480 is an abundant number, since it is smaller than the sum of its proper divisors (21180315840).

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

7506972480 is a wasteful number, since it uses less digits than its factorization.

7506972480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5566 (or 5549 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 7506972480 is about 86642.7866587865. The cubic root of 7506972480 is about 1958.0402179598.

The spelling of 7506972480 in words is "seven billion, five hundred six million, nine hundred seventy-two thousand, four hundred eighty".