6934952640 has 448 divisors, whose sum is σ = 28652175360. Its totient is φ = 1378037760.

The previous prime is 6934952627. The next prime is 6934952641. The reversal of 6934952640 is 462594396.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6934952640.

It is not an unprimeable number, because it can be changed into a prime (6934952641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1698121 + ... + 1702199.

Almost surely, 2^6934952640 is an apocalyptic number.

6934952640 is a gapful number since it is divisible by the number (60) 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 6934952640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14326087680).

6934952640 is an abundant number, since it is smaller than the sum of its proper divisors (21717222720).

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

6934952640 is a wasteful number, since it uses less digits than its factorization.

6934952640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4140 (or 4130 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 48.

The square root of 6934952640 is about 83276.3630329759. The cubic root of 6934952640 is about 1906.9874422944.

The spelling of 6934952640 in words is "six billion, nine hundred thirty-four million, nine hundred fifty-two thousand, six hundred forty".