7137879840 has 768 divisors, whose sum is σ = 31321866240. Its totient is φ = 1478062080.

The previous prime is 7137879829. The next prime is 7137879851. The reversal of 7137879840 is 489787317.

It is an interprime number because it is at equal distance from previous prime (7137879829) and next prime (7137879851).

It is a super-2 number, since 2×7137879840² (a number of 21 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 127 ways as a sum of consecutive naturals, for example, 26338905 + ... + 26339175.

It is an arithmetic number, because the mean of its divisors is an integer number (40783680).

Almost surely, 2^7137879840 is an apocalyptic number.

7137879840 is a gapful number since it is divisible by the number (70) 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 7137879840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15660933120).

7137879840 is an abundant number, since it is smaller than the sum of its proper divisors (24183986400).

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

7137879840 is a wasteful number, since it uses less digits than its factorization.

7137879840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The square root of 7137879840 is about 84485.9742205770. The cubic root of 7137879840 is about 1925.4093548957.

The spelling of 7137879840 in words is "seven billion, one hundred thirty-seven million, eight hundred seventy-nine thousand, eight hundred forty".