7734968640 has 560 divisors, whose sum is σ = 31865011200. Its totient is φ = 1744478208.

The previous prime is 7734968639. The next prime is 7734968671. The reversal of 7734968640 is 468694377.

It is a happy number.

7734968640 is a `hidden beast` number, since 7 + 73 + 496 + 86 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a hoax number, since the sum of its digits (54) 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16147921 + ... + 16148399.

Almost surely, 2^7734968640 is an apocalyptic number.

7734968640 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 7734968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15932505600).

7734968640 is an abundant number, since it is smaller than the sum of its proper divisors (24130042560).

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

7734968640 is a wasteful number, since it uses less digits than its factorization.

7734968640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The square root of 7734968640 is about 87948.6704845502. The cubic root of 7734968640 is about 1977.6655683322.

The spelling of 7734968640 in words is "seven billion, seven hundred thirty-four million, nine hundred sixty-eight thousand, six hundred forty".