7640514000 has 1280 divisors, whose sum is σ = 35097753600. Its totient is φ = 1548288000.

The previous prime is 7640513999. The next prime is 7640514019. The reversal of 7640514000 is 4150467.

7640514000 is a `hidden beast` number, since 7 + 640 + 5 + 14 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 186353980 + ... + 186354020.

It is an arithmetic number, because the mean of its divisors is an integer number (27420120).

Almost surely, 2^7640514000 is an apocalyptic number.

7640514000 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 7640514000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17548876800).

7640514000 is an abundant number, since it is smaller than the sum of its proper divisors (27457239600).

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

7640514000 is a wasteful number, since it uses less digits than its factorization.

7640514000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 7640514000 is about 87410.0337489925. The cubic root of 7640514000 is about 1969.5825684988.

Adding to 7640514000 its reverse (4150467), we get a palindrome (7644664467).

The spelling of 7640514000 in words is "seven billion, six hundred forty million, five hundred fourteen thousand".