276067940400 has 1350 divisors, whose sum is σ = 1205855092780. Its totient is φ = 58322073600.

The previous prime is 276067940399. The next prime is 276067940471. The reversal of 276067940400 is 4049760672.

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

It is an unprimeable number.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 6733364380 + ... + 6733364420.

Almost surely, 2^276067940400 is an apocalyptic number.

276067940400 is a gapful number since it is divisible by the number (20) 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 276067940400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602927546390).

276067940400 is an abundant number, since it is smaller than the sum of its proper divisors (929787152380).

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

276067940400 is a wasteful number, since it uses less digits than its factorization.

276067940400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 77 counting only the distinct ones).

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

The spelling of 276067940400 in words is "two hundred seventy-six billion, sixty-seven million, nine hundred forty thousand, four hundred".