238664724480 has 2496 divisors, whose sum is σ = 1154064457728. Its totient is φ = 45864714240.

The previous prime is 238664724461. The next prime is 238664724499. The reversal of 238664724480 is 84427466832.

238664724480 is a `hidden beast` number, since 2 + 3 + 86 + 64 + 7 + 24 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (238664724461) and next prime (238664724499).

It is a tau number, because it is divible by the number of its divisors (2496).

It is a super-2 number, since 2×238664724480² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7698862065 + ... + 7698862095.

It is an arithmetic number, because the mean of its divisors is an integer number (462365568).

Almost surely, 2^238664724480 is an apocalyptic number.

238664724480 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 238664724480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577032228864).

238664724480 is an abundant number, since it is smaller than the sum of its proper divisors (915399733248).

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

238664724480 is a wasteful number, since it uses less digits than its factorization.

238664724480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 238664724480 in words is "two hundred thirty-eight billion, six hundred sixty-four million, seven hundred twenty-four thousand, four hundred eighty".