7672148640 has 576 divisors, whose sum is σ = 29878377984. Its totient is φ = 1778540544.

The previous prime is 7672148633. The next prime is 7672148647. The reversal of 7672148640 is 468412767.

It is an interprime number because it is at equal distance from previous prime (7672148633) and next prime (7672148647).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (7672148647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44347594 + ... + 44347766.

It is an arithmetic number, because the mean of its divisors is an integer number (51872184).

Almost surely, 2^7672148640 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 7672148640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14939188992).

7672148640 is an abundant number, since it is smaller than the sum of its proper divisors (22206229344).

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

7672148640 is a wasteful number, since it uses less digits than its factorization.

7672148640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 7672148640 is about 87590.8022568580. The cubic root of 7672148640 is about 1972.2970997085.

The spelling of 7672148640 in words is "seven billion, six hundred seventy-two million, one hundred forty-eight thousand, six hundred forty".