1077522800640 has 1344 divisors, whose sum is σ = 4196365211520. Its totient is φ = 233916334080.

The previous prime is 1077522800621. The next prime is 1077522800659. The reversal of 1077522800640 is 460082257701.

It is an interprime number because it is at equal distance from previous prime (1077522800621) and next prime (1077522800659).

It is a super-3 number, since 3×1077522800640³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1077522800592 and 1077522800601.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12106997716 + ... + 12106997804.

Almost surely, 2^{1077522800640} is an apocalyptic number.

1077522800640 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 1077522800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2098182605760).

1077522800640 is an abundant number, since it is smaller than the sum of its proper divisors (3118842410880).

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

1077522800640 is a wasteful number, since it uses less digits than its factorization.

1077522800640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 1077522800640 in words is "one trillion, seventy-seven billion, five hundred twenty-two million, eight hundred thousand, six hundred forty".