276086996640 has 2016 divisors, whose sum is σ = 1302129198720. Its totient is φ = 53693964288.

The previous prime is 276086996597. The next prime is 276086996671. The reversal of 276086996640 is 46699680672.

276086996640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-3 number, since 3×276086996640³ (a number of 35 digits) contains 333 as substring.

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 polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 7461810702 + ... + 7461810738.

It is an arithmetic number, because the mean of its divisors is an integer number (645897420).

Almost surely, 2^276086996640 is an apocalyptic number.

276086996640 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 276086996640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651064599360).

276086996640 is an abundant number, since it is smaller than the sum of its proper divisors (1026042202080).

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

276086996640 is a wasteful number, since it uses less digits than its factorization.

276086996640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 276086996640 in words is "two hundred seventy-six billion, eighty-six million, nine hundred ninety-six thousand, six hundred forty".