276424585740072 has 864 divisors, whose sum is σ = 1009649400851520. Its totient is φ = 67546525777920.

The previous prime is 276424585740067. The next prime is 276424585740131. The reversal of 276424585740072 is 270047585424672.

276424585740072 is a `hidden beast` number, since 2 + 7 + 6 + 4 + 2 + 4 + 58 + 574 + 0 + 0 + 7 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 276424585739991 and 276424585740009.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 40454348368 + ... + 40454355200.

It is an arithmetic number, because the mean of its divisors is an integer number (1168575695430).

Almost surely, 2^{276424585740072} is an apocalyptic number.

276424585740072 is a gapful number since it is divisible by the number (22) 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 276424585740072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504824700425760).

276424585740072 is an abundant number, since it is smaller than the sum of its proper divisors (733224815111448).

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

276424585740072 is a wasteful number, since it uses less digits than its factorization.

276424585740072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10511 (or 10480 counting only the distinct ones).

The product of its (nonzero) digits is 210739200, while the sum is 63.

The spelling of 276424585740072 in words is "two hundred seventy-six trillion, four hundred twenty-four billion, five hundred eighty-five million, seven hundred forty thousand, seventy-two".