1157644676664 has 192 divisors, whose sum is σ = 3600754560000. Its totient is φ = 329135950080.

The previous prime is 1157644676627. The next prime is 1157644676701. The reversal of 1157644676664 is 4666764467511.

It is an interprime number because it is at equal distance from previous prime (1157644676627) and next prime (1157644676701).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 234766279 + ... + 234771209.

It is an arithmetic number, because the mean of its divisors is an integer number (18753930000).

Almost surely, 2^{1157644676664} is an apocalyptic number.

1157644676664 is a gapful number since it is divisible by the number (14) 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 1157644676664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800377280000).

1157644676664 is an abundant number, since it is smaller than the sum of its proper divisors (2443109883336).

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

1157644676664 is a wasteful number, since it uses less digits than its factorization.

1157644676664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7138 (or 7131 counting only the distinct ones).

The product of its digits is 121927680, while the sum is 63.

The spelling of 1157644676664 in words is "one trillion, one hundred fifty-seven billion, six hundred forty-four million, six hundred seventy-six thousand, six hundred sixty-four".