7270967424 has 384 divisors, whose sum is σ = 23876812800. Its totient is φ = 1919490048.

The previous prime is 7270967399. The next prime is 7270967453. The reversal of 7270967424 is 4247690727.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57251649 + ... + 57251775.

It is an arithmetic number, because the mean of its divisors is an integer number (62179200).

Almost surely, 2^7270967424 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 7270967424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11938406400).

7270967424 is an abundant number, since it is smaller than the sum of its proper divisors (16605845376).

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

7270967424 is a wasteful number, since it uses less digits than its factorization.

7270967424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 48.

The square root of 7270967424 is about 85269.9678902250. The cubic root of 7270967424 is about 1937.3023248011.

It can be divided in two parts, 7270967 and 424, that added together give a triangular number (7271391 = T₃₈₁₃).

The spelling of 7270967424 in words is "seven billion, two hundred seventy million, nine hundred sixty-seven thousand, four hundred twenty-four".