48772760640 has 448 divisors, whose sum is σ = 171373190400. Its totient is φ = 11708301312.

The previous prime is 48772760639. The next prime is 48772760671. The reversal of 48772760640 is 4606727784.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 826656931 + ... + 826656989.

Almost surely, 2^48772760640 is an apocalyptic number.

48772760640 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 48772760640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85686595200).

48772760640 is an abundant number, since it is smaller than the sum of its proper divisors (122600429760).

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

48772760640 is an equidigital number, since it uses as much as digits as its factorization.

48772760640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 51.

The spelling of 48772760640 in words is "forty-eight billion, seven hundred seventy-two million, seven hundred sixty thousand, six hundred forty".