8077464944640 has 2700 divisors, whose sum is σ = 36682042839624. Its totient is φ = 1704256339968.

The previous prime is 8077464944623. The next prime is 8077464944669. The reversal of 8077464944640 is 464494647708.

8077464944640 is a `hidden beast` number, since 8 + 0 + 7 + 7 + 464 + 94 + 46 + 40 = 666.

It is a super-4 number, since 4×8077464944640⁴ (a number of 53 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 621343457274 + ... + 621343457286.

Almost surely, 2^{8077464944640} is an apocalyptic number.

8077464944640 is a gapful number since it is divisible by the number (80) 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 8077464944640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18341021419812).

8077464944640 is an abundant number, since it is smaller than the sum of its proper divisors (28604577894984).

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

8077464944640 is an frugal number, since it uses more digits than its factorization.

8077464944640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 63.

The spelling of 8077464944640 in words is "eight trillion, seventy-seven billion, four hundred sixty-four million, nine hundred forty-four thousand, six hundred forty".