6377562240 has 512 divisors, whose sum is σ = 24929648640. Its totient is φ = 1353646080.

The previous prime is 6377562209. The next prime is 6377562307. The reversal of 6377562240 is 422657736.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 6377562192 and 6377562201.

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, 23533305 + ... + 23533575.

It is an arithmetic number, because the mean of its divisors is an integer number (48690720).

Almost surely, 2^6377562240 is an apocalyptic number.

6377562240 is a gapful number since it is divisible by the number (60) 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 6377562240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12464824320).

6377562240 is an abundant number, since it is smaller than the sum of its proper divisors (18552086400).

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

6377562240 is a wasteful number, since it uses less digits than its factorization.

6377562240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The square root of 6377562240 is about 79859.6408707177. The cubic root of 6377562240 is about 1854.4632667083.

The spelling of 6377562240 in words is "six billion, three hundred seventy-seven million, five hundred sixty-two thousand, two hundred forty".