1077147648 has 72 divisors (see below), whose sum is σ = 3111053400. Its totient is φ = 359043072.

The previous prime is 1077147647. The next prime is 1077147649. The reversal of 1077147648 is 8467417701.

1077147648 is a `hidden beast` number, since 107 + 71 + 476 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1077147647) and next prime (1077147649).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1077147647) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10788 + ... + 47651.

It is an arithmetic number, because the mean of its divisors is an integer number (43209075).

Almost surely, 2^1077147648 is an apocalyptic number.

1077147648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1077147648 is an abundant number, since it is smaller than the sum of its proper divisors (2033905752).

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

1077147648 is an equidigital number, since it uses as much as digits as its factorization.

1077147648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58467 (or 58444 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The square root of 1077147648 is about 32819.9276050390. The cubic root of 1077147648 is about 1025.0815395771.

It can be divided in two parts, 10771476 and 48, that added together give a square (10771524 = 3282²).

The spelling of 1077147648 in words is "one billion, seventy-seven million, one hundred forty-seven thousand, six hundred forty-eight".