4027624773648 has 480 divisors, whose sum is σ = 12524459811840. Its totient is φ = 1111517568000.

The previous prime is 4027624773637. The next prime is 4027624773691. The reversal of 4027624773648 is 8463774267204.

It is a super-2 number, since 2×4027624773648² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4027624773591 and 4027624773600.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4147913803 + ... + 4147914773.

It is an arithmetic number, because the mean of its divisors is an integer number (26092624608).

Almost surely, 2^{4027624773648} is an apocalyptic number.

4027624773648 is a gapful number since it is divisible by the number (48) 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 4027624773648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6262229905920).

4027624773648 is an abundant number, since it is smaller than the sum of its proper divisors (8496835038192).

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

4027624773648 is a wasteful number, since it uses less digits than its factorization.

4027624773648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1547 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 75866112, while the sum is 60.

The spelling of 4027624773648 in words is "four trillion, twenty-seven billion, six hundred twenty-four million, seven hundred seventy-three thousand, six hundred forty-eight".