1074977267364 has 576 divisors, whose sum is σ = 3796253540352. Its totient is φ = 247426099200.

The previous prime is 1074977267327. The next prime is 1074977267387. The reversal of 1074977267364 is 4637627794701.

1074977267364 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 9 + 7 + 7 + 267 + 364 = 666.

It is a super-2 number, since 2×1074977267364² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 141869944 + ... + 141877520.

It is an arithmetic number, because the mean of its divisors is an integer number (6590717952).

Almost surely, 2^{1074977267364} is an apocalyptic number.

1074977267364 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 1074977267364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1898126770176).

1074977267364 is an abundant number, since it is smaller than the sum of its proper divisors (2721276272988).

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

1074977267364 is a wasteful number, since it uses less digits than its factorization.

1074977267364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7776 (or 7771 counting only the distinct ones).

The product of its (nonzero) digits is 74680704, while the sum is 63.

It can be divided in two parts, 1074977 and 267364, that added together give a triangular number (1342341 = T₁₆₃₈).

The spelling of 1074977267364 in words is "one trillion, seventy-four billion, nine hundred seventy-seven million, two hundred sixty-seven thousand, three hundred sixty-four".