276697040400 has 405 divisors, whose sum is σ = 1056769514983. Its totient is φ = 66993907200.

The previous prime is 276697040363. The next prime is 276697040419. The reversal of 276697040400 is 4040796672.

The square root of 276697040400 is 526020.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6762759696 + 269934280704 = 82236^2 + 519552^2 .

It is a super-2 number, since 2×276697040400² (a number of 24 digits) contains 22 as substring.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 347172802 + ... + 347173598.

Almost surely, 2^276697040400 is an apocalyptic number.

276697040400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

276697040400 is the 526020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 276697040400

276697040400 is an abundant number, since it is smaller than the sum of its proper divisors (780072474583).

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

276697040400 is a wasteful number, since it uses less digits than its factorization.

276697040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 276697040400 in words is "two hundred seventy-six billion, six hundred ninety-seven million, forty thousand, four hundred".