2632748288976 has 800 divisors, whose sum is σ = 8781779263488. Its totient is φ = 755289722880.

The previous prime is 2632748288939. The next prime is 2632748288983. The reversal of 2632748288976 is 6798828472362.

2632748288976 is a `hidden beast` number, since 2 + 6 + 3 + 274 + 8 + 288 + 9 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3001993050 + ... + 3001993926.

Almost surely, 2^{2632748288976} is an apocalyptic number.

2632748288976 is a gapful number since it is divisible by the number (26) 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 2632748288976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4390889631744).

2632748288976 is an abundant number, since it is smaller than the sum of its proper divisors (6149030974512).

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

2632748288976 is a wasteful number, since it uses less digits than its factorization.

2632748288976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1106 counting only the distinct ones).

The product of its digits is 780337152, while the sum is 72.

The spelling of 2632748288976 in words is "two trillion, six hundred thirty-two billion, seven hundred forty-eight million, two hundred eighty-eight thousand, nine hundred seventy-six".