1077354616320 has 480 divisors, whose sum is σ = 4078150053120. Its totient is φ = 261669519360.

The previous prime is 1077354616297. The next prime is 1077354616343. The reversal of 1077354616320 is 236164537701.

1077354616320 is a `hidden beast` number, since 1 + 0 + 7 + 7 + 3 + 5 + 4 + 6 + 1 + 632 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1077354616297) and next prime (1077354616343).

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12097716 + ... + 12186444.

It is an arithmetic number, because the mean of its divisors is an integer number (8496145944).

Almost surely, 2^{1077354616320} is an apocalyptic number.

1077354616320 is a gapful number since it is divisible by the number (10) 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 1077354616320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2039075026560).

1077354616320 is an abundant number, since it is smaller than the sum of its proper divisors (3000795436800).

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

1077354616320 is a wasteful number, since it uses less digits than its factorization.

1077354616320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88806 (or 88787 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 1077354616320 in words is "one trillion, seventy-seven billion, three hundred fifty-four million, six hundred sixteen thousand, three hundred twenty".