6951536640 has 720 divisors, whose sum is σ = 27381053700. Its totient is φ = 1684537344.

The previous prime is 6951536621. The next prime is 6951536651. The reversal of 6951536640 is 466351596.

6951536640 is a `hidden beast` number, since 6 + 9 + 51 + 536 + 64 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5060330496 + 1891206144 = 71136^2 + 43488^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 239708146 + ... + 239708174.

Almost surely, 2^6951536640 is an apocalyptic number.

6951536640 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 6951536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13690526850).

6951536640 is an abundant number, since it is smaller than the sum of its proper divisors (20429517060).

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

6951536640 is a wasteful number, since it uses less digits than its factorization.

6951536640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 6951536640 is about 83375.8756475757. The cubic root of 6951536640 is about 1908.5063329282.

The spelling of 6951536640 in words is "six billion, nine hundred fifty-one million, five hundred thirty-six thousand, six hundred forty".