1077534896340 has 192 divisors, whose sum is σ = 3484123872768. Its totient is φ = 243724032000.

The previous prime is 1077534896329. The next prime is 1077534896351. The reversal of 1077534896340 is 436984357701.

1077534896340 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1077534896329) and next prime (1077534896351).

It is a super-2 number, since 2×1077534896340² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94209102 + ... + 94220538.

It is an arithmetic number, because the mean of its divisors is an integer number (18146478504).

Almost surely, 2^{1077534896340} is an apocalyptic number.

1077534896340 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 1077534896340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742061936384).

1077534896340 is an abundant number, since it is smaller than the sum of its proper divisors (2406588976428).

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

1077534896340 is a wasteful number, since it uses less digits than its factorization.

1077534896340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13778 (or 13776 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 57.

The spelling of 1077534896340 in words is "one trillion, seventy-seven billion, five hundred thirty-four million, eight hundred ninety-six thousand, three hundred forty".