7626477216 has 96 divisors (see below), whose sum is σ = 20339605440. Its totient is φ = 2501830656.

The previous prime is 7626477193. The next prime is 7626477223. The reversal of 7626477216 is 6127746267.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×7626477216² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) 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 (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1610340 + ... + 1615068.

It is an arithmetic number, because the mean of its divisors is an integer number (211870890).

Almost surely, 2^7626477216 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 7626477216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10169802720).

7626477216 is an abundant number, since it is smaller than the sum of its proper divisors (12713128224).

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

7626477216 is a wasteful number, since it uses less digits than its factorization.

7626477216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5006 (or 4998 counting only the distinct ones).

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

The square root of 7626477216 is about 87329.7040874409. The cubic root of 7626477216 is about 1968.3756884066.

The spelling of 7626477216 in words is "seven billion, six hundred twenty-six million, four hundred seventy-seven thousand, two hundred sixteen".