7508013216 has 144 divisors (see below), whose sum is σ = 21788885664. Its totient is φ = 2261952000.

The previous prime is 7508013197. The next prime is 7508013251. The reversal of 7508013216 is 6123108057.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2100711 + ... + 2104281.

It is an arithmetic number, because the mean of its divisors is an integer number (151311706).

Almost surely, 2^7508013216 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 7508013216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10894442832).

7508013216 is an abundant number, since it is smaller than the sum of its proper divisors (14280872448).

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

7508013216 is a wasteful number, since it uses less digits than its factorization.

7508013216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3787 (or 3768 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 7508013216 is about 86648.7923516537. The cubic root of 7508013216 is about 1958.1306986778.

The spelling of 7508013216 in words is "seven billion, five hundred eight million, thirteen thousand, two hundred sixteen".