6961054464 has 1080 divisors, whose sum is σ = 28420495488. Its totient is φ = 1672151040.

The previous prime is 6961054439. The next prime is 6961054483. The reversal of 6961054464 is 4644501696.

It is a happy number.

6961054464 is a `hidden beast` number, since 6 + 96 + 10 + 544 + 6 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 224550129 + ... + 224550159.

Almost surely, 2^6961054464 is an apocalyptic number.

6961054464 is a gapful number since it is divisible by the number (64) 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 6961054464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14210247744).

6961054464 is an abundant number, since it is smaller than the sum of its proper divisors (21459441024).

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

6961054464 is a wasteful number, since it uses less digits than its factorization.

6961054464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 6961054464 is about 83432.9339289947. The cubic root of 6961054464 is about 1909.3769578650.

It can be divided in two parts, 696105 and 4464, that added together give a square (700569 = 837²).

The spelling of 6961054464 in words is "six billion, nine hundred sixty-one million, fifty-four thousand, four hundred sixty-four".