48097674240 has 528 divisors, whose sum is σ = 193302566016. Its totient is φ = 9991618560.

The previous prime is 48097674223. The next prime is 48097674263. The reversal of 48097674240 is 4247679084.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-3 number, since 3×48097674240³ (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13008072 + ... + 13011768.

Almost surely, 2^48097674240 is an apocalyptic number.

48097674240 is a gapful number since it is divisible by the number (40) 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 48097674240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96651283008).

48097674240 is an abundant number, since it is smaller than the sum of its proper divisors (145204891776).

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

48097674240 is a wasteful number, since it uses less digits than its factorization.

48097674240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3754 (or 3725 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The spelling of 48097674240 in words is "forty-eight billion, ninety-seven million, six hundred seventy-four thousand, two hundred forty".