7629748840 has 72 divisors (see below), whose sum is σ = 19979826390. Its totient is φ = 2614588032.

The previous prime is 7629748831. The next prime is 7629748849. The reversal of 7629748840 is 488479267.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7629748831) and next prime (7629748849).

It can be written as a sum of positive squares in 3 ways, for example, as 3956661604 + 3673087236 = 62902^2 + 60606^2 .

It is a super-2 number, since 2×7629748840² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7629748849) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3866094 + ... + 3868066.

Almost surely, 2^7629748840 is an apocalyptic number.

7629748840 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 7629748840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9989913195).

7629748840 is an abundant number, since it is smaller than the sum of its proper divisors (12350077550).

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

7629748840 is an equidigital number, since it uses as much as digits as its factorization.

7629748840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3971 (or 1987 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 55.

The square root of 7629748840 is about 87348.4335291710. The cubic root of 7629748840 is about 1968.6571143008.

The spelling of 7629748840 in words is "seven billion, six hundred twenty-nine million, seven hundred forty-eight thousand, eight hundred forty".